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Finding the Fourth Proportional to 724.42, 1,088.52 and 677.02

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Solution

The fourth proportional to 724.42, 1,088.52 and 677.02 is: 1,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 1,088.52 = 677.02 : x
  2. Step 2: Convert to fraction form
    724.42/1,088.52 = 677.02/x
  3. Step 3: Cross multiply
    724.42x = 1,088.52 × 677.02
  4. Step 4: Simplify right side
    724.42x = 736,949.81
  5. Step 5: Solve for x
    x = 736,949.81/724.42
  6. Step 6: Final answer
    x = 1,017.30

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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.