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Finding the Fourth Proportional to 969.12, 1,337.40 and 549.45

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Solution

The fourth proportional to 969.12, 1,337.40 and 549.45 is: 758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,337.40 = 549.45 : x
  2. Step 2: Convert to fraction form
    969.12/1,337.40 = 549.45/x
  3. Step 3: Cross multiply
    969.12x = 1,337.40 × 549.45
  4. Step 4: Simplify right side
    969.12x = 734,834.43
  5. Step 5: Solve for x
    x = 734,834.43/969.12
  6. Step 6: Final answer
    x = 758.25

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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.