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Finding the Fourth Proportional to 713.76, 1,069.30 and 348.04

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Solution

The fourth proportional to 713.76, 1,069.30 and 348.04 is: 521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 1,069.30 = 348.04 : x
  2. Step 2: Convert to fraction form
    713.76/1,069.30 = 348.04/x
  3. Step 3: Cross multiply
    713.76x = 1,069.30 × 348.04
  4. Step 4: Simplify right side
    713.76x = 372,159.17
  5. Step 5: Solve for x
    x = 372,159.17/713.76
  6. Step 6: Final answer
    x = 521.41

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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.