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Finding the Fourth Proportional to 1,062.31, 1,593.45 and 413.17

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Solution

The fourth proportional to 1,062.31, 1,593.45 and 413.17 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.31 : 1,593.45 = 413.17 : x
  2. Step 2: Convert to fraction form
    1,062.31/1,593.45 = 413.17/x
  3. Step 3: Cross multiply
    1,062.31x = 1,593.45 × 413.17
  4. Step 4: Simplify right side
    1,062.31x = 658,365.74
  5. Step 5: Solve for x
    x = 658,365.74/1,062.31
  6. Step 6: Final answer
    x = 619.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.