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Finding the Fourth Proportional to 969.44, 1,337.86 and 527.36

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Solution

The fourth proportional to 969.44, 1,337.86 and 527.36 is: 727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,337.86 = 527.36 : x
  2. Step 2: Convert to fraction form
    969.44/1,337.86 = 527.36/x
  3. Step 3: Cross multiply
    969.44x = 1,337.86 × 527.36
  4. Step 4: Simplify right side
    969.44x = 705,533.85
  5. Step 5: Solve for x
    x = 705,533.85/969.44
  6. Step 6: Final answer
    x = 727.77

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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.