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Finding the Fourth Proportional to 812, 1,120.53 and 457.93

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Solution

The fourth proportional to 812, 1,120.53 and 457.93 is: 631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,120.53 = 457.93 : x
  2. Step 2: Convert to fraction form
    812/1,120.53 = 457.93/x
  3. Step 3: Cross multiply
    812x = 1,120.53 × 457.93
  4. Step 4: Simplify right side
    812x = 513,124.30
  5. Step 5: Solve for x
    x = 513,124.30/812
  6. Step 6: Final answer
    x = 631.93

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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.