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Finding the Fourth Proportional to 1,306.28, 1,802.82 and 782.31

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Solution

The fourth proportional to 1,306.28, 1,802.82 and 782.31 is: 1,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.28 : 1,802.82 = 782.31 : x
  2. Step 2: Convert to fraction form
    1,306.28/1,802.82 = 782.31/x
  3. Step 3: Cross multiply
    1,306.28x = 1,802.82 × 782.31
  4. Step 4: Simplify right side
    1,306.28x = 1,410,364.11
  5. Step 5: Solve for x
    x = 1,410,364.11/1,306.28
  6. Step 6: Final answer
    x = 1,079.68

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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.