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Finding the Fourth Proportional to 1,239.78, 1,711.59 and 820

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Solution

The fourth proportional to 1,239.78, 1,711.59 and 820 is: 1,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.78 : 1,711.59 = 820 : x
  2. Step 2: Convert to fraction form
    1,239.78/1,711.59 = 820/x
  3. Step 3: Cross multiply
    1,239.78x = 1,711.59 × 820
  4. Step 4: Simplify right side
    1,239.78x = 1,403,503.80
  5. Step 5: Solve for x
    x = 1,403,503.80/1,239.78
  6. Step 6: Final answer
    x = 1,132.06

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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.