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Finding the Fourth Proportional to 1,159.96, 1,600.74 and 717.82

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Solution

The fourth proportional to 1,159.96, 1,600.74 and 717.82 is: 990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.96 : 1,600.74 = 717.82 : x
  2. Step 2: Convert to fraction form
    1,159.96/1,600.74 = 717.82/x
  3. Step 3: Cross multiply
    1,159.96x = 1,600.74 × 717.82
  4. Step 4: Simplify right side
    1,159.96x = 1,149,043.19
  5. Step 5: Solve for x
    x = 1,149,043.19/1,159.96
  6. Step 6: Final answer
    x = 990.59

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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.