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Finding the Fourth Proportional to 713.52, 1,070.37 and 274.67

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Solution

The fourth proportional to 713.52, 1,070.37 and 274.67 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 1,070.37 = 274.67 : x
  2. Step 2: Convert to fraction form
    713.52/1,070.37 = 274.67/x
  3. Step 3: Cross multiply
    713.52x = 1,070.37 × 274.67
  4. Step 4: Simplify right side
    713.52x = 293,996.16
  5. Step 5: Solve for x
    x = 293,996.16/713.52
  6. Step 6: Final answer
    x = 412.04

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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.