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Finding the Fourth Proportional to 1,306.41, 1,802.56 and 782.13

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Solution

The fourth proportional to 1,306.41, 1,802.56 and 782.13 is: 1,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.41 : 1,802.56 = 782.13 : x
  2. Step 2: Convert to fraction form
    1,306.41/1,802.56 = 782.13/x
  3. Step 3: Cross multiply
    1,306.41x = 1,802.56 × 782.13
  4. Step 4: Simplify right side
    1,306.41x = 1,409,836.25
  5. Step 5: Solve for x
    x = 1,409,836.25/1,306.41
  6. Step 6: Final answer
    x = 1,079.17

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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.