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Finding the Fourth Proportional to 1,239.48, 1,711.08 and 797.64

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Solution

The fourth proportional to 1,239.48, 1,711.08 and 797.64 is: 1,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.48 : 1,711.08 = 797.64 : x
  2. Step 2: Convert to fraction form
    1,239.48/1,711.08 = 797.64/x
  3. Step 3: Cross multiply
    1,239.48x = 1,711.08 × 797.64
  4. Step 4: Simplify right side
    1,239.48x = 1,364,825.85
  5. Step 5: Solve for x
    x = 1,364,825.85/1,239.48
  6. Step 6: Final answer
    x = 1,101.13

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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.