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Finding the Fourth Proportional to 1,239.93, 1,711.26 and 716.13

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Solution

The fourth proportional to 1,239.93, 1,711.26 and 716.13 is: 988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.93 : 1,711.26 = 716.13 : x
  2. Step 2: Convert to fraction form
    1,239.93/1,711.26 = 716.13/x
  3. Step 3: Cross multiply
    1,239.93x = 1,711.26 × 716.13
  4. Step 4: Simplify right side
    1,239.93x = 1,225,484.62
  5. Step 5: Solve for x
    x = 1,225,484.62/1,239.93
  6. Step 6: Final answer
    x = 988.35

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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.