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Finding the Fourth Proportional to 1,149.80, 1,724.85 and 369.61

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Solution

The fourth proportional to 1,149.80, 1,724.85 and 369.61 is: 554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.80 : 1,724.85 = 369.61 : x
  2. Step 2: Convert to fraction form
    1,149.80/1,724.85 = 369.61/x
  3. Step 3: Cross multiply
    1,149.80x = 1,724.85 × 369.61
  4. Step 4: Simplify right side
    1,149.80x = 637,521.81
  5. Step 5: Solve for x
    x = 637,521.81/1,149.80
  6. Step 6: Final answer
    x = 554.46

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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.