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Finding the Fourth Proportional to 772.59, 1,066.14 and 431.91

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Solution

The fourth proportional to 772.59, 1,066.14 and 431.91 is: 596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.59 : 1,066.14 = 431.91 : x
  2. Step 2: Convert to fraction form
    772.59/1,066.14 = 431.91/x
  3. Step 3: Cross multiply
    772.59x = 1,066.14 × 431.91
  4. Step 4: Simplify right side
    772.59x = 460,476.53
  5. Step 5: Solve for x
    x = 460,476.53/772.59
  6. Step 6: Final answer
    x = 596.02

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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.