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Finding the Fourth Proportional to 1,197.25, 1,652.87 and 916.62

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Solution

The fourth proportional to 1,197.25, 1,652.87 and 916.62 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.25 : 1,652.87 = 916.62 : x
  2. Step 2: Convert to fraction form
    1,197.25/1,652.87 = 916.62/x
  3. Step 3: Cross multiply
    1,197.25x = 1,652.87 × 916.62
  4. Step 4: Simplify right side
    1,197.25x = 1,515,052.17
  5. Step 5: Solve for x
    x = 1,515,052.17/1,197.25
  6. Step 6: Final answer
    x = 1,265.44

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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.