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Finding the Fourth Proportional to 1,231.76, 1,699.29 and 759.53

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Solution

The fourth proportional to 1,231.76, 1,699.29 and 759.53 is: 1,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.76 : 1,699.29 = 759.53 : x
  2. Step 2: Convert to fraction form
    1,231.76/1,699.29 = 759.53/x
  3. Step 3: Cross multiply
    1,231.76x = 1,699.29 × 759.53
  4. Step 4: Simplify right side
    1,231.76x = 1,290,653.24
  5. Step 5: Solve for x
    x = 1,290,653.24/1,231.76
  6. Step 6: Final answer
    x = 1,047.82

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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.