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Finding the Fourth Proportional to 1,178.08, 1,765.95 and 658.31

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Solution

The fourth proportional to 1,178.08, 1,765.95 and 658.31 is: 986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.08 : 1,765.95 = 658.31 : x
  2. Step 2: Convert to fraction form
    1,178.08/1,765.95 = 658.31/x
  3. Step 3: Cross multiply
    1,178.08x = 1,765.95 × 658.31
  4. Step 4: Simplify right side
    1,178.08x = 1,162,531.25
  5. Step 5: Solve for x
    x = 1,162,531.25/1,178.08
  6. Step 6: Final answer
    x = 986.80

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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.