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Finding the Fourth Proportional to 772.53, 1,066.02 and 457.77

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Solution

The fourth proportional to 772.53, 1,066.02 and 457.77 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.53 : 1,066.02 = 457.77 : x
  2. Step 2: Convert to fraction form
    772.53/1,066.02 = 457.77/x
  3. Step 3: Cross multiply
    772.53x = 1,066.02 × 457.77
  4. Step 4: Simplify right side
    772.53x = 487,991.98
  5. Step 5: Solve for x
    x = 487,991.98/772.53
  6. Step 6: Final answer
    x = 631.68

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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.