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Finding the Fourth Proportional to 925.43, 1,276.76 and 645.57

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Solution

The fourth proportional to 925.43, 1,276.76 and 645.57 is: 890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.43 : 1,276.76 = 645.57 : x
  2. Step 2: Convert to fraction form
    925.43/1,276.76 = 645.57/x
  3. Step 3: Cross multiply
    925.43x = 1,276.76 × 645.57
  4. Step 4: Simplify right side
    925.43x = 824,239.57
  5. Step 5: Solve for x
    x = 824,239.57/925.43
  6. Step 6: Final answer
    x = 890.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.