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Finding the Fourth Proportional to 1,134.78, 1,566.08 and 637.53

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Solution

The fourth proportional to 1,134.78, 1,566.08 and 637.53 is: 879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.78 : 1,566.08 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,134.78/1,566.08 = 637.53/x
  3. Step 3: Cross multiply
    1,134.78x = 1,566.08 × 637.53
  4. Step 4: Simplify right side
    1,134.78x = 998,422.98
  5. Step 5: Solve for x
    x = 998,422.98/1,134.78
  6. Step 6: Final answer
    x = 879.84

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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.