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Finding the Fourth Proportional to 762.52, 1,052.34 and 452.04

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Solution

The fourth proportional to 762.52, 1,052.34 and 452.04 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.52 : 1,052.34 = 452.04 : x
  2. Step 2: Convert to fraction form
    762.52/1,052.34 = 452.04/x
  3. Step 3: Cross multiply
    762.52x = 1,052.34 × 452.04
  4. Step 4: Simplify right side
    762.52x = 475,699.77
  5. Step 5: Solve for x
    x = 475,699.77/762.52
  6. Step 6: Final answer
    x = 623.85

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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.