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Finding the Fourth Proportional to 1,297.55, 1,946.32 and 861.59

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Solution

The fourth proportional to 1,297.55, 1,946.32 and 861.59 is: 1,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.55 : 1,946.32 = 861.59 : x
  2. Step 2: Convert to fraction form
    1,297.55/1,946.32 = 861.59/x
  3. Step 3: Cross multiply
    1,297.55x = 1,946.32 × 861.59
  4. Step 4: Simplify right side
    1,297.55x = 1,676,929.85
  5. Step 5: Solve for x
    x = 1,676,929.85/1,297.55
  6. Step 6: Final answer
    x = 1,292.38

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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.