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Finding the Fourth Proportional to 731.69, 1,009.76 and 470.06

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Solution

The fourth proportional to 731.69, 1,009.76 and 470.06 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.69 : 1,009.76 = 470.06 : x
  2. Step 2: Convert to fraction form
    731.69/1,009.76 = 470.06/x
  3. Step 3: Cross multiply
    731.69x = 1,009.76 × 470.06
  4. Step 4: Simplify right side
    731.69x = 474,647.79
  5. Step 5: Solve for x
    x = 474,647.79/731.69
  6. Step 6: Final answer
    x = 648.70

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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.