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Finding the Fourth Proportional to 1,150.50, 1,722.42 and 877.68

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Solution

The fourth proportional to 1,150.50, 1,722.42 and 877.68 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.50 : 1,722.42 = 877.68 : x
  2. Step 2: Convert to fraction form
    1,150.50/1,722.42 = 877.68/x
  3. Step 3: Cross multiply
    1,150.50x = 1,722.42 × 877.68
  4. Step 4: Simplify right side
    1,150.50x = 1,511,733.59
  5. Step 5: Solve for x
    x = 1,511,733.59/1,150.50
  6. Step 6: Final answer
    x = 1,313.98

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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.