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Finding the Fourth Proportional to 1,306.77, 1,959.56 and 813.17

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Solution

The fourth proportional to 1,306.77, 1,959.56 and 813.17 is: 1,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.77 : 1,959.56 = 813.17 : x
  2. Step 2: Convert to fraction form
    1,306.77/1,959.56 = 813.17/x
  3. Step 3: Cross multiply
    1,306.77x = 1,959.56 × 813.17
  4. Step 4: Simplify right side
    1,306.77x = 1,593,459.29
  5. Step 5: Solve for x
    x = 1,593,459.29/1,306.77
  6. Step 6: Final answer
    x = 1,219.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.