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Finding the Fourth Proportional to 1,123.52, 1,677.44 and 969.28

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Solution

The fourth proportional to 1,123.52, 1,677.44 and 969.28 is: 1,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.52 : 1,677.44 = 969.28 : x
  2. Step 2: Convert to fraction form
    1,123.52/1,677.44 = 969.28/x
  3. Step 3: Cross multiply
    1,123.52x = 1,677.44 × 969.28
  4. Step 4: Simplify right side
    1,123.52x = 1,625,909.04
  5. Step 5: Solve for x
    x = 1,625,909.04/1,123.52
  6. Step 6: Final answer
    x = 1,447.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.