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Finding the Fourth Proportional to 1,102.78, 1,656.60 and 942.40

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Solution

The fourth proportional to 1,102.78, 1,656.60 and 942.40 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.78 : 1,656.60 = 942.40 : x
  2. Step 2: Convert to fraction form
    1,102.78/1,656.60 = 942.40/x
  3. Step 3: Cross multiply
    1,102.78x = 1,656.60 × 942.40
  4. Step 4: Simplify right side
    1,102.78x = 1,561,179.84
  5. Step 5: Solve for x
    x = 1,561,179.84/1,102.78
  6. Step 6: Final answer
    x = 1,415.68

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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.