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Finding the Fourth Proportional to 1,105.24, 1,657.50 and 488.93

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Solution

The fourth proportional to 1,105.24, 1,657.50 and 488.93 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.24 : 1,657.50 = 488.93 : x
  2. Step 2: Convert to fraction form
    1,105.24/1,657.50 = 488.93/x
  3. Step 3: Cross multiply
    1,105.24x = 1,657.50 × 488.93
  4. Step 4: Simplify right side
    1,105.24x = 810,397.57
  5. Step 5: Solve for x
    x = 810,397.57/1,105.24
  6. Step 6: Final answer
    x = 733.23

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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.