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Finding the Fourth Proportional to 1,134.77, 1,565.93 and 637.43

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Solution

The fourth proportional to 1,134.77, 1,565.93 and 637.43 is: 879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.77 : 1,565.93 = 637.43 : x
  2. Step 2: Convert to fraction form
    1,134.77/1,565.93 = 637.43/x
  3. Step 3: Cross multiply
    1,134.77x = 1,565.93 × 637.43
  4. Step 4: Simplify right side
    1,134.77x = 998,167.57
  5. Step 5: Solve for x
    x = 998,167.57/1,134.77
  6. Step 6: Final answer
    x = 879.62

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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.