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Finding the Fourth Proportional to 1,105.41, 1,657.48 and 488.79

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Solution

The fourth proportional to 1,105.41, 1,657.48 and 488.79 is: 732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.41 : 1,657.48 = 488.79 : x
  2. Step 2: Convert to fraction form
    1,105.41/1,657.48 = 488.79/x
  3. Step 3: Cross multiply
    1,105.41x = 1,657.48 × 488.79
  4. Step 4: Simplify right side
    1,105.41x = 810,159.65
  5. Step 5: Solve for x
    x = 810,159.65/1,105.41
  6. Step 6: Final answer
    x = 732.90

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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.