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Finding the Fourth Proportional to 769.28, 1,154.34 and 714.20

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Solution

The fourth proportional to 769.28, 1,154.34 and 714.20 is: 1,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.28 : 1,154.34 = 714.20 : x
  2. Step 2: Convert to fraction form
    769.28/1,154.34 = 714.20/x
  3. Step 3: Cross multiply
    769.28x = 1,154.34 × 714.20
  4. Step 4: Simplify right side
    769.28x = 824,429.63
  5. Step 5: Solve for x
    x = 824,429.63/769.28
  6. Step 6: Final answer
    x = 1,071.69

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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.