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Finding the Fourth Proportional to 1,011.25, 1,516.70 and 280.63

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Solution

The fourth proportional to 1,011.25, 1,516.70 and 280.63 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.25 : 1,516.70 = 280.63 : x
  2. Step 2: Convert to fraction form
    1,011.25/1,516.70 = 280.63/x
  3. Step 3: Cross multiply
    1,011.25x = 1,516.70 × 280.63
  4. Step 4: Simplify right side
    1,011.25x = 425,631.52
  5. Step 5: Solve for x
    x = 425,631.52/1,011.25
  6. Step 6: Final answer
    x = 420.90

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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.