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Finding the Fourth Proportional to 969.53, 1,337.94 and 527.42

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Solution

The fourth proportional to 969.53, 1,337.94 and 527.42 is: 727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.53 : 1,337.94 = 527.42 : x
  2. Step 2: Convert to fraction form
    969.53/1,337.94 = 527.42/x
  3. Step 3: Cross multiply
    969.53x = 1,337.94 × 527.42
  4. Step 4: Simplify right side
    969.53x = 705,659.66
  5. Step 5: Solve for x
    x = 705,659.66/969.53
  6. Step 6: Final answer
    x = 727.84

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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.