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Finding the Fourth Proportional to 1,000.35, 1,500.40 and 269.98

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Solution

The fourth proportional to 1,000.35, 1,500.40 and 269.98 is: 404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.35 : 1,500.40 = 269.98 : x
  2. Step 2: Convert to fraction form
    1,000.35/1,500.40 = 269.98/x
  3. Step 3: Cross multiply
    1,000.35x = 1,500.40 × 269.98
  4. Step 4: Simplify right side
    1,000.35x = 405,077.99
  5. Step 5: Solve for x
    x = 405,077.99/1,000.35
  6. Step 6: Final answer
    x = 404.94

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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.