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Finding the Fourth Proportional to 1,105.85, 1,524.02 and 928.97

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Solution

The fourth proportional to 1,105.85, 1,524.02 and 928.97 is: 1,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.85 : 1,524.02 = 928.97 : x
  2. Step 2: Convert to fraction form
    1,105.85/1,524.02 = 928.97/x
  3. Step 3: Cross multiply
    1,105.85x = 1,524.02 × 928.97
  4. Step 4: Simplify right side
    1,105.85x = 1,415,762.31
  5. Step 5: Solve for x
    x = 1,415,762.31/1,105.85
  6. Step 6: Final answer
    x = 1,280.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.