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Finding the Fourth Proportional to 1,129.28, 1,694.08 and 858.72

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Solution

The fourth proportional to 1,129.28, 1,694.08 and 858.72 is: 1,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.28 : 1,694.08 = 858.72 : x
  2. Step 2: Convert to fraction form
    1,129.28/1,694.08 = 858.72/x
  3. Step 3: Cross multiply
    1,129.28x = 1,694.08 × 858.72
  4. Step 4: Simplify right side
    1,129.28x = 1,454,740.38
  5. Step 5: Solve for x
    x = 1,454,740.38/1,129.28
  6. Step 6: Final answer
    x = 1,288.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.