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Finding the Fourth Proportional to 1,154.02, 1,592.67 and 656.79

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Solution

The fourth proportional to 1,154.02, 1,592.67 and 656.79 is: 906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.02 : 1,592.67 = 656.79 : x
  2. Step 2: Convert to fraction form
    1,154.02/1,592.67 = 656.79/x
  3. Step 3: Cross multiply
    1,154.02x = 1,592.67 × 656.79
  4. Step 4: Simplify right side
    1,154.02x = 1,046,049.73
  5. Step 5: Solve for x
    x = 1,046,049.73/1,154.02
  6. Step 6: Final answer
    x = 906.44

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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.