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Finding the Fourth Proportional to 713.24, 1,069.91 and 274.70

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Solution

The fourth proportional to 713.24, 1,069.91 and 274.70 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 1,069.91 = 274.70 : x
  2. Step 2: Convert to fraction form
    713.24/1,069.91 = 274.70/x
  3. Step 3: Cross multiply
    713.24x = 1,069.91 × 274.70
  4. Step 4: Simplify right side
    713.24x = 293,897.55
  5. Step 5: Solve for x
    x = 293,897.55/713.24
  6. Step 6: Final answer
    x = 412.06

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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.