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Finding the Fourth Proportional to 1,366.05, 2,047.84 and 500.16

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Solution

The fourth proportional to 1,366.05, 2,047.84 and 500.16 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.05 : 2,047.84 = 500.16 : x
  2. Step 2: Convert to fraction form
    1,366.05/2,047.84 = 500.16/x
  3. Step 3: Cross multiply
    1,366.05x = 2,047.84 × 500.16
  4. Step 4: Simplify right side
    1,366.05x = 1,024,234.91
  5. Step 5: Solve for x
    x = 1,024,234.91/1,366.05
  6. Step 6: Final answer
    x = 749.78

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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.