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Finding the Fourth Proportional to 730.76, 1,008.41 and 416.06

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Solution

The fourth proportional to 730.76, 1,008.41 and 416.06 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,008.41 = 416.06 : x
  2. Step 2: Convert to fraction form
    730.76/1,008.41 = 416.06/x
  3. Step 3: Cross multiply
    730.76x = 1,008.41 × 416.06
  4. Step 4: Simplify right side
    730.76x = 419,555.72
  5. Step 5: Solve for x
    x = 419,555.72/730.76
  6. Step 6: Final answer
    x = 574.13

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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.