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Finding the Fourth Proportional to 772.52, 1,066.02 and 457.82

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Solution

The fourth proportional to 772.52, 1,066.02 and 457.82 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,066.02 = 457.82 : x
  2. Step 2: Convert to fraction form
    772.52/1,066.02 = 457.82/x
  3. Step 3: Cross multiply
    772.52x = 1,066.02 × 457.82
  4. Step 4: Simplify right side
    772.52x = 488,045.28
  5. Step 5: Solve for x
    x = 488,045.28/772.52
  6. Step 6: Final answer
    x = 631.76

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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.