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Finding the Fourth Proportional to 713.62, 1,069.14 and 348.16

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Solution

The fourth proportional to 713.62, 1,069.14 and 348.16 is: 521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.62 : 1,069.14 = 348.16 : x
  2. Step 2: Convert to fraction form
    713.62/1,069.14 = 348.16/x
  3. Step 3: Cross multiply
    713.62x = 1,069.14 × 348.16
  4. Step 4: Simplify right side
    713.62x = 372,231.78
  5. Step 5: Solve for x
    x = 372,231.78/713.62
  6. Step 6: Final answer
    x = 521.61

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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.