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Finding the Fourth Proportional to 1,269.13, 1,752.47 and 1,060.42

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Solution

The fourth proportional to 1,269.13, 1,752.47 and 1,060.42 is: 1,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.13 : 1,752.47 = 1,060.42 : x
  2. Step 2: Convert to fraction form
    1,269.13/1,752.47 = 1,060.42/x
  3. Step 3: Cross multiply
    1,269.13x = 1,752.47 × 1,060.42
  4. Step 4: Simplify right side
    1,269.13x = 1,858,340.17
  5. Step 5: Solve for x
    x = 1,858,340.17/1,269.13
  6. Step 6: Final answer
    x = 1,464.27

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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.