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Finding the Fourth Proportional to 861.84, 1,291.14 and 644.76

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Solution

The fourth proportional to 861.84, 1,291.14 and 644.76 is: 965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,291.14 = 644.76 : x
  2. Step 2: Convert to fraction form
    861.84/1,291.14 = 644.76/x
  3. Step 3: Cross multiply
    861.84x = 1,291.14 × 644.76
  4. Step 4: Simplify right side
    861.84x = 832,475.43
  5. Step 5: Solve for x
    x = 832,475.43/861.84
  6. Step 6: Final answer
    x = 965.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.