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Finding the Fourth Proportional to 969.20, 1,337.53 and 527.14

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Solution

The fourth proportional to 969.20, 1,337.53 and 527.14 is: 727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.20 : 1,337.53 = 527.14 : x
  2. Step 2: Convert to fraction form
    969.20/1,337.53 = 527.14/x
  3. Step 3: Cross multiply
    969.20x = 1,337.53 × 527.14
  4. Step 4: Simplify right side
    969.20x = 705,058.88
  5. Step 5: Solve for x
    x = 705,058.88/969.20
  6. Step 6: Final answer
    x = 727.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.