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Finding the Fourth Proportional to 968.65, 1,336.97 and 549.25

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Solution

The fourth proportional to 968.65, 1,336.97 and 549.25 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.65 : 1,336.97 = 549.25 : x
  2. Step 2: Convert to fraction form
    968.65/1,336.97 = 549.25/x
  3. Step 3: Cross multiply
    968.65x = 1,336.97 × 549.25
  4. Step 4: Simplify right side
    968.65x = 734,330.67
  5. Step 5: Solve for x
    x = 734,330.67/968.65
  6. Step 6: Final answer
    x = 758.10

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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.