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Finding the Fourth Proportional to 862.76, 1,190.28 and 531.08

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Solution

The fourth proportional to 862.76, 1,190.28 and 531.08 is: 732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.76 : 1,190.28 = 531.08 : x
  2. Step 2: Convert to fraction form
    862.76/1,190.28 = 531.08/x
  3. Step 3: Cross multiply
    862.76x = 1,190.28 × 531.08
  4. Step 4: Simplify right side
    862.76x = 632,133.90
  5. Step 5: Solve for x
    x = 632,133.90/862.76
  6. Step 6: Final answer
    x = 732.69

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