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Finding the Fourth Proportional to 862.29, 1,189.42 and 752.02

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Solution

The fourth proportional to 862.29, 1,189.42 and 752.02 is: 1,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.29 : 1,189.42 = 752.02 : x
  2. Step 2: Convert to fraction form
    862.29/1,189.42 = 752.02/x
  3. Step 3: Cross multiply
    862.29x = 1,189.42 × 752.02
  4. Step 4: Simplify right side
    862.29x = 894,467.63
  5. Step 5: Solve for x
    x = 894,467.63/862.29
  6. Step 6: Final answer
    x = 1,037.32

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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.