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Finding the Fourth Proportional to 1,000.62, 1,500.69 and 487.50

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Solution

The fourth proportional to 1,000.62, 1,500.69 and 487.50 is: 731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.62 : 1,500.69 = 487.50 : x
  2. Step 2: Convert to fraction form
    1,000.62/1,500.69 = 487.50/x
  3. Step 3: Cross multiply
    1,000.62x = 1,500.69 × 487.50
  4. Step 4: Simplify right side
    1,000.62x = 731,586.38
  5. Step 5: Solve for x
    x = 731,586.38/1,000.62
  6. Step 6: Final answer
    x = 731.13

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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.