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Finding the Fourth Proportional to 762.34, 1,052.89 and 572.95

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Solution

The fourth proportional to 762.34, 1,052.89 and 572.95 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,052.89 = 572.95 : x
  2. Step 2: Convert to fraction form
    762.34/1,052.89 = 572.95/x
  3. Step 3: Cross multiply
    762.34x = 1,052.89 × 572.95
  4. Step 4: Simplify right side
    762.34x = 603,253.33
  5. Step 5: Solve for x
    x = 603,253.33/762.34
  6. Step 6: Final answer
    x = 791.32

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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.