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Finding the Fourth Proportional to 1,155.75, 1,594.97 and 631.82

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Solution

The fourth proportional to 1,155.75, 1,594.97 and 631.82 is: 871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.75 : 1,594.97 = 631.82 : x
  2. Step 2: Convert to fraction form
    1,155.75/1,594.97 = 631.82/x
  3. Step 3: Cross multiply
    1,155.75x = 1,594.97 × 631.82
  4. Step 4: Simplify right side
    1,155.75x = 1,007,733.95
  5. Step 5: Solve for x
    x = 1,007,733.95/1,155.75
  6. Step 6: Final answer
    x = 871.93

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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.