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Finding the Fourth Proportional to 1,122.61, 1,549.20 and 656.86

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Solution

The fourth proportional to 1,122.61, 1,549.20 and 656.86 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.61 : 1,549.20 = 656.86 : x
  2. Step 2: Convert to fraction form
    1,122.61/1,549.20 = 656.86/x
  3. Step 3: Cross multiply
    1,122.61x = 1,549.20 × 656.86
  4. Step 4: Simplify right side
    1,122.61x = 1,017,607.16
  5. Step 5: Solve for x
    x = 1,017,607.16/1,122.61
  6. Step 6: Final answer
    x = 906.47

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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.