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Finding the Fourth Proportional to 1,000.65, 1,500.80 and 270.13

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Solution

The fourth proportional to 1,000.65, 1,500.80 and 270.13 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.65 : 1,500.80 = 270.13 : x
  2. Step 2: Convert to fraction form
    1,000.65/1,500.80 = 270.13/x
  3. Step 3: Cross multiply
    1,000.65x = 1,500.80 × 270.13
  4. Step 4: Simplify right side
    1,000.65x = 405,414.18
  5. Step 5: Solve for x
    x = 405,414.18/1,000.65
  6. Step 6: Final answer
    x = 405.15

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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.