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Finding the Fourth Proportional to 1,177.17, 1,767.48 and 658.20

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Solution

The fourth proportional to 1,177.17, 1,767.48 and 658.20 is: 988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.17 : 1,767.48 = 658.20 : x
  2. Step 2: Convert to fraction form
    1,177.17/1,767.48 = 658.20/x
  3. Step 3: Cross multiply
    1,177.17x = 1,767.48 × 658.20
  4. Step 4: Simplify right side
    1,177.17x = 1,163,355.34
  5. Step 5: Solve for x
    x = 1,163,355.34/1,177.17
  6. Step 6: Final answer
    x = 988.26

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