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Finding the Fourth Proportional to 1,138.66, 1,566.65 and 889.55

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Solution

The fourth proportional to 1,138.66, 1,566.65 and 889.55 is: 1,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.66 : 1,566.65 = 889.55 : x
  2. Step 2: Convert to fraction form
    1,138.66/1,566.65 = 889.55/x
  3. Step 3: Cross multiply
    1,138.66x = 1,566.65 × 889.55
  4. Step 4: Simplify right side
    1,138.66x = 1,393,613.77
  5. Step 5: Solve for x
    x = 1,393,613.77/1,138.66
  6. Step 6: Final answer
    x = 1,223.91

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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.