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Finding the Fourth Proportional to 730.32, 1,007.91 and 482.19

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Solution

The fourth proportional to 730.32, 1,007.91 and 482.19 is: 665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.32 : 1,007.91 = 482.19 : x
  2. Step 2: Convert to fraction form
    730.32/1,007.91 = 482.19/x
  3. Step 3: Cross multiply
    730.32x = 1,007.91 × 482.19
  4. Step 4: Simplify right side
    730.32x = 486,004.12
  5. Step 5: Solve for x
    x = 486,004.12/730.32
  6. Step 6: Final answer
    x = 665.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.