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Finding the Fourth Proportional to 713.01, 1,069.57 and 274.48

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Solution

The fourth proportional to 713.01, 1,069.57 and 274.48 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.01 : 1,069.57 = 274.48 : x
  2. Step 2: Convert to fraction form
    713.01/1,069.57 = 274.48/x
  3. Step 3: Cross multiply
    713.01x = 1,069.57 × 274.48
  4. Step 4: Simplify right side
    713.01x = 293,573.24
  5. Step 5: Solve for x
    x = 293,573.24/713.01
  6. Step 6: Final answer
    x = 411.74

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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.