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Finding the Fourth Proportional to 1,134.81, 1,566.02 and 637.44

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Solution

The fourth proportional to 1,134.81, 1,566.02 and 637.44 is: 879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.81 : 1,566.02 = 637.44 : x
  2. Step 2: Convert to fraction form
    1,134.81/1,566.02 = 637.44/x
  3. Step 3: Cross multiply
    1,134.81x = 1,566.02 × 637.44
  4. Step 4: Simplify right side
    1,134.81x = 998,244.73
  5. Step 5: Solve for x
    x = 998,244.73/1,134.81
  6. Step 6: Final answer
    x = 879.66

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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.