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Finding the Fourth Proportional to 731,382, 1,007,202.05 and 602,876.71

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Solution

The fourth proportional to 731,382, 1,007,202.05 and 602,876.71 is: 830,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,382 : 1,007,202.05 = 602,876.71 : x
  2. Step 2: Convert to fraction form
    731,382/1,007,202.05 = 602,876.71/x
  3. Step 3: Cross multiply
    731,382x = 1,007,202.05 × 602,876.71
  4. Step 4: Simplify right side
    731,382x = 607,218,658,209.26
  5. Step 5: Solve for x
    x = 607,218,658,209.26/731,382
  6. Step 6: Final answer
    x = 830,234.62

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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.