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Finding the Fourth Proportional to 1,175.16, 1,624.76 and 1,123.52

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Solution

The fourth proportional to 1,175.16, 1,624.76 and 1,123.52 is: 1,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.16 : 1,624.76 = 1,123.52 : x
  2. Step 2: Convert to fraction form
    1,175.16/1,624.76 = 1,123.52/x
  3. Step 3: Cross multiply
    1,175.16x = 1,624.76 × 1,123.52
  4. Step 4: Simplify right side
    1,175.16x = 1,825,449.97
  5. Step 5: Solve for x
    x = 1,825,449.97/1,175.16
  6. Step 6: Final answer
    x = 1,553.37

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