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Finding the Fourth Proportional to 730.47, 1,095.66 and 487.14

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Solution

The fourth proportional to 730.47, 1,095.66 and 487.14 is: 730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.47 : 1,095.66 = 487.14 : x
  2. Step 2: Convert to fraction form
    730.47/1,095.66 = 487.14/x
  3. Step 3: Cross multiply
    730.47x = 1,095.66 × 487.14
  4. Step 4: Simplify right side
    730.47x = 533,739.81
  5. Step 5: Solve for x
    x = 533,739.81/730.47
  6. Step 6: Final answer
    x = 730.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.