Home / 1,197.14-1,652.18-724.96

Finding the Fourth Proportional to 1,197.14, 1,652.18 and 724.96

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Solution

The fourth proportional to 1,197.14, 1,652.18 and 724.96 is: 1,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.14 : 1,652.18 = 724.96 : x
  2. Step 2: Convert to fraction form
    1,197.14/1,652.18 = 724.96/x
  3. Step 3: Cross multiply
    1,197.14x = 1,652.18 × 724.96
  4. Step 4: Simplify right side
    1,197.14x = 1,197,764.41
  5. Step 5: Solve for x
    x = 1,197,764.41/1,197.14
  6. Step 6: Final answer
    x = 1,000.52

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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.