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Finding the Fourth Proportional to 1,000.32, 1,500.49 and 655.84

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Solution

The fourth proportional to 1,000.32, 1,500.49 and 655.84 is: 983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.32 : 1,500.49 = 655.84 : x
  2. Step 2: Convert to fraction form
    1,000.32/1,500.49 = 655.84/x
  3. Step 3: Cross multiply
    1,000.32x = 1,500.49 × 655.84
  4. Step 4: Simplify right side
    1,000.32x = 984,081.68
  5. Step 5: Solve for x
    x = 984,081.68/1,000.32
  6. Step 6: Final answer
    x = 983.76

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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.