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Finding the Fourth Proportional to 1,011.10, 1,516.65 and 280.68

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Solution

The fourth proportional to 1,011.10, 1,516.65 and 280.68 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.10 : 1,516.65 = 280.68 : x
  2. Step 2: Convert to fraction form
    1,011.10/1,516.65 = 280.68/x
  3. Step 3: Cross multiply
    1,011.10x = 1,516.65 × 280.68
  4. Step 4: Simplify right side
    1,011.10x = 425,693.32
  5. Step 5: Solve for x
    x = 425,693.32/1,011.10
  6. Step 6: Final answer
    x = 421.02

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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.