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Finding the Fourth Proportional to 968.90, 1,337.04 and 549.24

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Solution

The fourth proportional to 968.90, 1,337.04 and 549.24 is: 757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.90 : 1,337.04 = 549.24 : x
  2. Step 2: Convert to fraction form
    968.90/1,337.04 = 549.24/x
  3. Step 3: Cross multiply
    968.90x = 1,337.04 × 549.24
  4. Step 4: Simplify right side
    968.90x = 734,355.85
  5. Step 5: Solve for x
    x = 734,355.85/968.90
  6. Step 6: Final answer
    x = 757.93

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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.