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Finding the Fourth Proportional to 1,171.03, 1,754.76 and 877.15

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Solution

The fourth proportional to 1,171.03, 1,754.76 and 877.15 is: 1,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.03 : 1,754.76 = 877.15 : x
  2. Step 2: Convert to fraction form
    1,171.03/1,754.76 = 877.15/x
  3. Step 3: Cross multiply
    1,171.03x = 1,754.76 × 877.15
  4. Step 4: Simplify right side
    1,171.03x = 1,539,198.15
  5. Step 5: Solve for x
    x = 1,539,198.15/1,171.03
  6. Step 6: Final answer
    x = 1,314.39

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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.