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Finding the Fourth Proportional to 1,239.88, 1,711.22 and 715.88

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Solution

The fourth proportional to 1,239.88, 1,711.22 and 715.88 is: 988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.88 : 1,711.22 = 715.88 : x
  2. Step 2: Convert to fraction form
    1,239.88/1,711.22 = 715.88/x
  3. Step 3: Cross multiply
    1,239.88x = 1,711.22 × 715.88
  4. Step 4: Simplify right side
    1,239.88x = 1,225,028.17
  5. Step 5: Solve for x
    x = 1,225,028.17/1,239.88
  6. Step 6: Final answer
    x = 988.02

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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.