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Finding the Fourth Proportional to 1,121.80, 1,682.70 and 916.60

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Solution

The fourth proportional to 1,121.80, 1,682.70 and 916.60 is: 1,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.80 : 1,682.70 = 916.60 : x
  2. Step 2: Convert to fraction form
    1,121.80/1,682.70 = 916.60/x
  3. Step 3: Cross multiply
    1,121.80x = 1,682.70 × 916.60
  4. Step 4: Simplify right side
    1,121.80x = 1,542,362.82
  5. Step 5: Solve for x
    x = 1,542,362.82/1,121.80
  6. Step 6: Final answer
    x = 1,374.90

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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.