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Finding the Fourth Proportional to 1,000.98, 1,501.46 and 270.61

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Solution

The fourth proportional to 1,000.98, 1,501.46 and 270.61 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.98 : 1,501.46 = 270.61 : x
  2. Step 2: Convert to fraction form
    1,000.98/1,501.46 = 270.61/x
  3. Step 3: Cross multiply
    1,000.98x = 1,501.46 × 270.61
  4. Step 4: Simplify right side
    1,000.98x = 406,310.77
  5. Step 5: Solve for x
    x = 406,310.77/1,000.98
  6. Step 6: Final answer
    x = 405.91

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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.