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Finding the Fourth Proportional to 1,162.52, 1,602.30 and 868.76

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Solution

The fourth proportional to 1,162.52, 1,602.30 and 868.76 is: 1,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.52 : 1,602.30 = 868.76 : x
  2. Step 2: Convert to fraction form
    1,162.52/1,602.30 = 868.76/x
  3. Step 3: Cross multiply
    1,162.52x = 1,602.30 × 868.76
  4. Step 4: Simplify right side
    1,162.52x = 1,392,014.15
  5. Step 5: Solve for x
    x = 1,392,014.15/1,162.52
  6. Step 6: Final answer
    x = 1,197.41

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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.