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Finding the Fourth Proportional to 1,000.02, 1,499.80 and 269.65

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Solution

The fourth proportional to 1,000.02, 1,499.80 and 269.65 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.02 : 1,499.80 = 269.65 : x
  2. Step 2: Convert to fraction form
    1,000.02/1,499.80 = 269.65/x
  3. Step 3: Cross multiply
    1,000.02x = 1,499.80 × 269.65
  4. Step 4: Simplify right side
    1,000.02x = 404,422.27
  5. Step 5: Solve for x
    x = 404,422.27/1,000.02
  6. Step 6: Final answer
    x = 404.42

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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.