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Finding the Fourth Proportional to 932.78, 1,398.24 and 413.06

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Solution

The fourth proportional to 932.78, 1,398.24 and 413.06 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.78 : 1,398.24 = 413.06 : x
  2. Step 2: Convert to fraction form
    932.78/1,398.24 = 413.06/x
  3. Step 3: Cross multiply
    932.78x = 1,398.24 × 413.06
  4. Step 4: Simplify right side
    932.78x = 577,557.01
  5. Step 5: Solve for x
    x = 577,557.01/932.78
  6. Step 6: Final answer
    x = 619.18

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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.