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Finding the Fourth Proportional to 645.52, 890.76 and 497.92

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Solution

The fourth proportional to 645.52, 890.76 and 497.92 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 890.76 = 497.92 : x
  2. Step 2: Convert to fraction form
    645.52/890.76 = 497.92/x
  3. Step 3: Cross multiply
    645.52x = 890.76 × 497.92
  4. Step 4: Simplify right side
    645.52x = 443,527.22
  5. Step 5: Solve for x
    x = 443,527.22/645.52
  6. Step 6: Final answer
    x = 687.09

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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.