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Finding the Fourth Proportional to 961.92, 1,327.47 and 569.13

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Solution

The fourth proportional to 961.92, 1,327.47 and 569.13 is: 785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,327.47 = 569.13 : x
  2. Step 2: Convert to fraction form
    961.92/1,327.47 = 569.13/x
  3. Step 3: Cross multiply
    961.92x = 1,327.47 × 569.13
  4. Step 4: Simplify right side
    961.92x = 755,503.00
  5. Step 5: Solve for x
    x = 755,503.00/961.92
  6. Step 6: Final answer
    x = 785.41

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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.