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Finding the Fourth Proportional to 1,141.72, 1,713.06 and 731.32

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Solution

The fourth proportional to 1,141.72, 1,713.06 and 731.32 is: 1,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.72 : 1,713.06 = 731.32 : x
  2. Step 2: Convert to fraction form
    1,141.72/1,713.06 = 731.32/x
  3. Step 3: Cross multiply
    1,141.72x = 1,713.06 × 731.32
  4. Step 4: Simplify right side
    1,141.72x = 1,252,795.04
  5. Step 5: Solve for x
    x = 1,252,795.04/1,141.72
  6. Step 6: Final answer
    x = 1,097.29

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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.