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Finding the Fourth Proportional to 1,162.60, 1,742.27 and 642.84

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Solution

The fourth proportional to 1,162.60, 1,742.27 and 642.84 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.60 : 1,742.27 = 642.84 : x
  2. Step 2: Convert to fraction form
    1,162.60/1,742.27 = 642.84/x
  3. Step 3: Cross multiply
    1,162.60x = 1,742.27 × 642.84
  4. Step 4: Simplify right side
    1,162.60x = 1,120,000.85
  5. Step 5: Solve for x
    x = 1,120,000.85/1,162.60
  6. Step 6: Final answer
    x = 963.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.