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Finding the Fourth Proportional to 732.66, 1,010.70 and 470.40

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Solution

The fourth proportional to 732.66, 1,010.70 and 470.40 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.66 : 1,010.70 = 470.40 : x
  2. Step 2: Convert to fraction form
    732.66/1,010.70 = 470.40/x
  3. Step 3: Cross multiply
    732.66x = 1,010.70 × 470.40
  4. Step 4: Simplify right side
    732.66x = 475,433.28
  5. Step 5: Solve for x
    x = 475,433.28/732.66
  6. Step 6: Final answer
    x = 648.91

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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.