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Finding the Fourth Proportional to 1,036.80, 1,431.27 and 742.23

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Solution

The fourth proportional to 1,036.80, 1,431.27 and 742.23 is: 1,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.80 : 1,431.27 = 742.23 : x
  2. Step 2: Convert to fraction form
    1,036.80/1,431.27 = 742.23/x
  3. Step 3: Cross multiply
    1,036.80x = 1,431.27 × 742.23
  4. Step 4: Simplify right side
    1,036.80x = 1,062,331.53
  5. Step 5: Solve for x
    x = 1,062,331.53/1,036.80
  6. Step 6: Final answer
    x = 1,024.63

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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.