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Finding the Fourth Proportional to 1,105.09, 1,657.64 and 488.77

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Solution

The fourth proportional to 1,105.09, 1,657.64 and 488.77 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.09 : 1,657.64 = 488.77 : x
  2. Step 2: Convert to fraction form
    1,105.09/1,657.64 = 488.77/x
  3. Step 3: Cross multiply
    1,105.09x = 1,657.64 × 488.77
  4. Step 4: Simplify right side
    1,105.09x = 810,204.70
  5. Step 5: Solve for x
    x = 810,204.70/1,105.09
  6. Step 6: Final answer
    x = 733.16

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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.