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Finding the Fourth Proportional to 969.39, 1,337.65 and 549.67

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Solution

The fourth proportional to 969.39, 1,337.65 and 549.67 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.39 : 1,337.65 = 549.67 : x
  2. Step 2: Convert to fraction form
    969.39/1,337.65 = 549.67/x
  3. Step 3: Cross multiply
    969.39x = 1,337.65 × 549.67
  4. Step 4: Simplify right side
    969.39x = 735,266.08
  5. Step 5: Solve for x
    x = 735,266.08/969.39
  6. Step 6: Final answer
    x = 758.48

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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.