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Finding the Fourth Proportional to 1,174.70, 1,621.04 and 677.61

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Solution

The fourth proportional to 1,174.70, 1,621.04 and 677.61 is: 935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.70 : 1,621.04 = 677.61 : x
  2. Step 2: Convert to fraction form
    1,174.70/1,621.04 = 677.61/x
  3. Step 3: Cross multiply
    1,174.70x = 1,621.04 × 677.61
  4. Step 4: Simplify right side
    1,174.70x = 1,098,434.61
  5. Step 5: Solve for x
    x = 1,098,434.61/1,174.70
  6. Step 6: Final answer
    x = 935.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.