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Finding the Fourth Proportional to 1,154.11, 1,592.70 and 656.82

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Solution

The fourth proportional to 1,154.11, 1,592.70 and 656.82 is: 906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.11 : 1,592.70 = 656.82 : x
  2. Step 2: Convert to fraction form
    1,154.11/1,592.70 = 656.82/x
  3. Step 3: Cross multiply
    1,154.11x = 1,592.70 × 656.82
  4. Step 4: Simplify right side
    1,154.11x = 1,046,111.24
  5. Step 5: Solve for x
    x = 1,046,111.24/1,154.11
  6. Step 6: Final answer
    x = 906.43

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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.