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Finding the Fourth Proportional to 1,036.65, 1,431.24 and 742.89

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Solution

The fourth proportional to 1,036.65, 1,431.24 and 742.89 is: 1,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.65 : 1,431.24 = 742.89 : x
  2. Step 2: Convert to fraction form
    1,036.65/1,431.24 = 742.89/x
  3. Step 3: Cross multiply
    1,036.65x = 1,431.24 × 742.89
  4. Step 4: Simplify right side
    1,036.65x = 1,063,253.88
  5. Step 5: Solve for x
    x = 1,063,253.88/1,036.65
  6. Step 6: Final answer
    x = 1,025.66

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Why These Related Problems?

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