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Finding the Fourth Proportional to 713.78, 1,071.11 and 275.06

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Solution

The fourth proportional to 713.78, 1,071.11 and 275.06 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.78 : 1,071.11 = 275.06 : x
  2. Step 2: Convert to fraction form
    713.78/1,071.11 = 275.06/x
  3. Step 3: Cross multiply
    713.78x = 1,071.11 × 275.06
  4. Step 4: Simplify right side
    713.78x = 294,619.52
  5. Step 5: Solve for x
    x = 294,619.52/713.78
  6. Step 6: Final answer
    x = 412.76

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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.