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Finding the Fourth Proportional to 1,000.04, 1,499.85 and 269.45

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Solution

The fourth proportional to 1,000.04, 1,499.85 and 269.45 is: 404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.04 : 1,499.85 = 269.45 : x
  2. Step 2: Convert to fraction form
    1,000.04/1,499.85 = 269.45/x
  3. Step 3: Cross multiply
    1,000.04x = 1,499.85 × 269.45
  4. Step 4: Simplify right side
    1,000.04x = 404,127.08
  5. Step 5: Solve for x
    x = 404,127.08/1,000.04
  6. Step 6: Final answer
    x = 404.11

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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.