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Finding the Fourth Proportional to 713.01, 1,068.78 and 274.14

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Solution

The fourth proportional to 713.01, 1,068.78 and 274.14 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.01 : 1,068.78 = 274.14 : x
  2. Step 2: Convert to fraction form
    713.01/1,068.78 = 274.14/x
  3. Step 3: Cross multiply
    713.01x = 1,068.78 × 274.14
  4. Step 4: Simplify right side
    713.01x = 292,995.35
  5. Step 5: Solve for x
    x = 292,995.35/713.01
  6. Step 6: Final answer
    x = 410.93

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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.