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Finding the Fourth Proportional to 1,111.92, 1,658.46 and 956.04

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Solution

The fourth proportional to 1,111.92, 1,658.46 and 956.04 is: 1,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.92 : 1,658.46 = 956.04 : x
  2. Step 2: Convert to fraction form
    1,111.92/1,658.46 = 956.04/x
  3. Step 3: Cross multiply
    1,111.92x = 1,658.46 × 956.04
  4. Step 4: Simplify right side
    1,111.92x = 1,585,554.10
  5. Step 5: Solve for x
    x = 1,585,554.10/1,111.92
  6. Step 6: Final answer
    x = 1,425.96

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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.