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Finding the Fourth Proportional to 1,151.19, 1,723.70 and 687.82

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Solution

The fourth proportional to 1,151.19, 1,723.70 and 687.82 is: 1,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.19 : 1,723.70 = 687.82 : x
  2. Step 2: Convert to fraction form
    1,151.19/1,723.70 = 687.82/x
  3. Step 3: Cross multiply
    1,151.19x = 1,723.70 × 687.82
  4. Step 4: Simplify right side
    1,151.19x = 1,185,595.33
  5. Step 5: Solve for x
    x = 1,185,595.33/1,151.19
  6. Step 6: Final answer
    x = 1,029.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.