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Finding the Fourth Proportional to 969.35, 1,337.68 and 527.24

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Solution

The fourth proportional to 969.35, 1,337.68 and 527.24 is: 727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,337.68 = 527.24 : x
  2. Step 2: Convert to fraction form
    969.35/1,337.68 = 527.24/x
  3. Step 3: Cross multiply
    969.35x = 1,337.68 × 527.24
  4. Step 4: Simplify right side
    969.35x = 705,280.43
  5. Step 5: Solve for x
    x = 705,280.43/969.35
  6. Step 6: Final answer
    x = 727.58

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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.