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Finding the Fourth Proportional to 1,038.23, 1,432.89 and 645.31

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Solution

The fourth proportional to 1,038.23, 1,432.89 and 645.31 is: 890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.23 : 1,432.89 = 645.31 : x
  2. Step 2: Convert to fraction form
    1,038.23/1,432.89 = 645.31/x
  3. Step 3: Cross multiply
    1,038.23x = 1,432.89 × 645.31
  4. Step 4: Simplify right side
    1,038.23x = 924,658.25
  5. Step 5: Solve for x
    x = 924,658.25/1,038.23
  6. Step 6: Final answer
    x = 890.61

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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.