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Finding the Fourth Proportional to 1,173.14, 1,617.60 and 877.92

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Solution

The fourth proportional to 1,173.14, 1,617.60 and 877.92 is: 1,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.14 : 1,617.60 = 877.92 : x
  2. Step 2: Convert to fraction form
    1,173.14/1,617.60 = 877.92/x
  3. Step 3: Cross multiply
    1,173.14x = 1,617.60 × 877.92
  4. Step 4: Simplify right side
    1,173.14x = 1,420,123.39
  5. Step 5: Solve for x
    x = 1,420,123.39/1,173.14
  6. Step 6: Final answer
    x = 1,210.53

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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.