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Finding the Fourth Proportional to 731.71, 1,009.57 and 470.08

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Solution

The fourth proportional to 731.71, 1,009.57 and 470.08 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.71 : 1,009.57 = 470.08 : x
  2. Step 2: Convert to fraction form
    731.71/1,009.57 = 470.08/x
  3. Step 3: Cross multiply
    731.71x = 1,009.57 × 470.08
  4. Step 4: Simplify right side
    731.71x = 474,578.67
  5. Step 5: Solve for x
    x = 474,578.67/731.71
  6. Step 6: Final answer
    x = 648.59

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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.