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Finding the Fourth Proportional to 1,589.96, 2,385.12 and 724.16

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Solution

The fourth proportional to 1,589.96, 2,385.12 and 724.16 is: 1,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.96 : 2,385.12 = 724.16 : x
  2. Step 2: Convert to fraction form
    1,589.96/2,385.12 = 724.16/x
  3. Step 3: Cross multiply
    1,589.96x = 2,385.12 × 724.16
  4. Step 4: Simplify right side
    1,589.96x = 1,727,208.50
  5. Step 5: Solve for x
    x = 1,727,208.50/1,589.96
  6. Step 6: Final answer
    x = 1,086.32

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1.5x scale

Why These Related Problems?

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