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Finding the Fourth Proportional to 1,122.88, 1,546.40 and 873.76

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Solution

The fourth proportional to 1,122.88, 1,546.40 and 873.76 is: 1,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.88 : 1,546.40 = 873.76 : x
  2. Step 2: Convert to fraction form
    1,122.88/1,546.40 = 873.76/x
  3. Step 3: Cross multiply
    1,122.88x = 1,546.40 × 873.76
  4. Step 4: Simplify right side
    1,122.88x = 1,351,182.46
  5. Step 5: Solve for x
    x = 1,351,182.46/1,122.88
  6. Step 6: Final answer
    x = 1,203.32

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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.