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Finding the Fourth Proportional to 1,000.08, 1,499.94 and 269.48

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Solution

The fourth proportional to 1,000.08, 1,499.94 and 269.48 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.08 : 1,499.94 = 269.48 : x
  2. Step 2: Convert to fraction form
    1,000.08/1,499.94 = 269.48/x
  3. Step 3: Cross multiply
    1,000.08x = 1,499.94 × 269.48
  4. Step 4: Simplify right side
    1,000.08x = 404,203.16
  5. Step 5: Solve for x
    x = 404,203.16/1,000.08
  6. Step 6: Final answer
    x = 404.17

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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.