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Finding the Fourth Proportional to 1,350.64, 2,024.20 and 609.70

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Solution

The fourth proportional to 1,350.64, 2,024.20 and 609.70 is: 913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.64 : 2,024.20 = 609.70 : x
  2. Step 2: Convert to fraction form
    1,350.64/2,024.20 = 609.70/x
  3. Step 3: Cross multiply
    1,350.64x = 2,024.20 × 609.70
  4. Step 4: Simplify right side
    1,350.64x = 1,234,154.74
  5. Step 5: Solve for x
    x = 1,234,154.74/1,350.64
  6. Step 6: Final answer
    x = 913.76

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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.