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Finding the Fourth Proportional to 968.78, 1,336.99 and 549.23

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Solution

The fourth proportional to 968.78, 1,336.99 and 549.23 is: 757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.78 : 1,336.99 = 549.23 : x
  2. Step 2: Convert to fraction form
    968.78/1,336.99 = 549.23/x
  3. Step 3: Cross multiply
    968.78x = 1,336.99 × 549.23
  4. Step 4: Simplify right side
    968.78x = 734,315.02
  5. Step 5: Solve for x
    x = 734,315.02/968.78
  6. Step 6: Final answer
    x = 757.98

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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.