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Finding the Fourth Proportional to 1,178.47, 1,769.42 and 658.38

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Solution

The fourth proportional to 1,178.47, 1,769.42 and 658.38 is: 988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.47 : 1,769.42 = 658.38 : x
  2. Step 2: Convert to fraction form
    1,178.47/1,769.42 = 658.38/x
  3. Step 3: Cross multiply
    1,178.47x = 1,769.42 × 658.38
  4. Step 4: Simplify right side
    1,178.47x = 1,164,947.22
  5. Step 5: Solve for x
    x = 1,164,947.22/1,178.47
  6. Step 6: Final answer
    x = 988.52

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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.