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Finding the Fourth Proportional to 1,011.13, 1,516.70 and 280.71

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Solution

The fourth proportional to 1,011.13, 1,516.70 and 280.71 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.13 : 1,516.70 = 280.71 : x
  2. Step 2: Convert to fraction form
    1,011.13/1,516.70 = 280.71/x
  3. Step 3: Cross multiply
    1,011.13x = 1,516.70 × 280.71
  4. Step 4: Simplify right side
    1,011.13x = 425,755.25
  5. Step 5: Solve for x
    x = 425,755.25/1,011.13
  6. Step 6: Final answer
    x = 421.07

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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.