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Finding the Fourth Proportional to 798.26, 1,101.13 and 549.15

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Solution

The fourth proportional to 798.26, 1,101.13 and 549.15 is: 757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,101.13 = 549.15 : x
  2. Step 2: Convert to fraction form
    798.26/1,101.13 = 549.15/x
  3. Step 3: Cross multiply
    798.26x = 1,101.13 × 549.15
  4. Step 4: Simplify right side
    798.26x = 604,680.04
  5. Step 5: Solve for x
    x = 604,680.04/798.26
  6. Step 6: Final answer
    x = 757.50

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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.