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Finding the Fourth Proportional to 1,159.41, 1,600.71 and 805.22

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Solution

The fourth proportional to 1,159.41, 1,600.71 and 805.22 is: 1,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.41 : 1,600.71 = 805.22 : x
  2. Step 2: Convert to fraction form
    1,159.41/1,600.71 = 805.22/x
  3. Step 3: Cross multiply
    1,159.41x = 1,600.71 × 805.22
  4. Step 4: Simplify right side
    1,159.41x = 1,288,932.22
  5. Step 5: Solve for x
    x = 1,288,932.22/1,159.41
  6. Step 6: Final answer
    x = 1,111.71

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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.