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Finding the Fourth Proportional to 713.58, 1,068.14 and 466.94

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Solution

The fourth proportional to 713.58, 1,068.14 and 466.94 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 1,068.14 = 466.94 : x
  2. Step 2: Convert to fraction form
    713.58/1,068.14 = 466.94/x
  3. Step 3: Cross multiply
    713.58x = 1,068.14 × 466.94
  4. Step 4: Simplify right side
    713.58x = 498,757.29
  5. Step 5: Solve for x
    x = 498,757.29/713.58
  6. Step 6: Final answer
    x = 698.95

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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.