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Finding the Fourth Proportional to 1,197.23, 1,652.18 and 725.18

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Solution

The fourth proportional to 1,197.23, 1,652.18 and 725.18 is: 1,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.23 : 1,652.18 = 725.18 : x
  2. Step 2: Convert to fraction form
    1,197.23/1,652.18 = 725.18/x
  3. Step 3: Cross multiply
    1,197.23x = 1,652.18 × 725.18
  4. Step 4: Simplify right side
    1,197.23x = 1,198,116.01
  5. Step 5: Solve for x
    x = 1,198,116.01/1,197.23
  6. Step 6: Final answer
    x = 1,000.74

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1.5x scale

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.