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Finding the Fourth Proportional to 969.02, 1,337.16 and 575.98

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Solution

The fourth proportional to 969.02, 1,337.16 and 575.98 is: 794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.02 : 1,337.16 = 575.98 : x
  2. Step 2: Convert to fraction form
    969.02/1,337.16 = 575.98/x
  3. Step 3: Cross multiply
    969.02x = 1,337.16 × 575.98
  4. Step 4: Simplify right side
    969.02x = 770,177.42
  5. Step 5: Solve for x
    x = 770,177.42/969.02
  6. Step 6: Final answer
    x = 794.80

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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.