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Finding the Fourth Proportional to 713.32, 1,068.30 and 679.84

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Solution

The fourth proportional to 713.32, 1,068.30 and 679.84 is: 1,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.32 : 1,068.30 = 679.84 : x
  2. Step 2: Convert to fraction form
    713.32/1,068.30 = 679.84/x
  3. Step 3: Cross multiply
    713.32x = 1,068.30 × 679.84
  4. Step 4: Simplify right side
    713.32x = 726,273.07
  5. Step 5: Solve for x
    x = 726,273.07/713.32
  6. Step 6: Final answer
    x = 1,018.16

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