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Finding the Fourth Proportional to 1,041.29, 1,561.26 and 731.42

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Solution

The fourth proportional to 1,041.29, 1,561.26 and 731.42 is: 1,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.29 : 1,561.26 = 731.42 : x
  2. Step 2: Convert to fraction form
    1,041.29/1,561.26 = 731.42/x
  3. Step 3: Cross multiply
    1,041.29x = 1,561.26 × 731.42
  4. Step 4: Simplify right side
    1,041.29x = 1,141,936.79
  5. Step 5: Solve for x
    x = 1,141,936.79/1,041.29
  6. Step 6: Final answer
    x = 1,096.66

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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.