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Finding the Fourth Proportional to 1,239.76, 1,712.03 and 798.42

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Solution

The fourth proportional to 1,239.76, 1,712.03 and 798.42 is: 1,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.76 : 1,712.03 = 798.42 : x
  2. Step 2: Convert to fraction form
    1,239.76/1,712.03 = 798.42/x
  3. Step 3: Cross multiply
    1,239.76x = 1,712.03 × 798.42
  4. Step 4: Simplify right side
    1,239.76x = 1,366,921.42
  5. Step 5: Solve for x
    x = 1,366,921.42/1,239.76
  6. Step 6: Final answer
    x = 1,102.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.