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Finding the Fourth Proportional to 772.92, 1,159.14 and 286.11

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Solution

The fourth proportional to 772.92, 1,159.14 and 286.11 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,159.14 = 286.11 : x
  2. Step 2: Convert to fraction form
    772.92/1,159.14 = 286.11/x
  3. Step 3: Cross multiply
    772.92x = 1,159.14 × 286.11
  4. Step 4: Simplify right side
    772.92x = 331,641.55
  5. Step 5: Solve for x
    x = 331,641.55/772.92
  6. Step 6: Final answer
    x = 429.08

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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.