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Finding the Fourth Proportional to 763.17, 1,053.18 and 413.86

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Solution

The fourth proportional to 763.17, 1,053.18 and 413.86 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.17 : 1,053.18 = 413.86 : x
  2. Step 2: Convert to fraction form
    763.17/1,053.18 = 413.86/x
  3. Step 3: Cross multiply
    763.17x = 1,053.18 × 413.86
  4. Step 4: Simplify right side
    763.17x = 435,867.25
  5. Step 5: Solve for x
    x = 435,867.25/763.17
  6. Step 6: Final answer
    x = 571.13

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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.