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Finding the Fourth Proportional to 1,122.60, 1,546.68 and 842.40

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Solution

The fourth proportional to 1,122.60, 1,546.68 and 842.40 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.60 : 1,546.68 = 842.40 : x
  2. Step 2: Convert to fraction form
    1,122.60/1,546.68 = 842.40/x
  3. Step 3: Cross multiply
    1,122.60x = 1,546.68 × 842.40
  4. Step 4: Simplify right side
    1,122.60x = 1,302,923.23
  5. Step 5: Solve for x
    x = 1,302,923.23/1,122.60
  6. Step 6: Final answer
    x = 1,160.63

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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.