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Finding the Fourth Proportional to 1,102.80, 1,650.96 and 947.64

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Solution

The fourth proportional to 1,102.80, 1,650.96 and 947.64 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.80 : 1,650.96 = 947.64 : x
  2. Step 2: Convert to fraction form
    1,102.80/1,650.96 = 947.64/x
  3. Step 3: Cross multiply
    1,102.80x = 1,650.96 × 947.64
  4. Step 4: Simplify right side
    1,102.80x = 1,564,515.73
  5. Step 5: Solve for x
    x = 1,564,515.73/1,102.80
  6. Step 6: Final answer
    x = 1,418.68

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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.