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Finding the Fourth Proportional to 870.26, 1,201.08 and 538.78

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Solution

The fourth proportional to 870.26, 1,201.08 and 538.78 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.26 : 1,201.08 = 538.78 : x
  2. Step 2: Convert to fraction form
    870.26/1,201.08 = 538.78/x
  3. Step 3: Cross multiply
    870.26x = 1,201.08 × 538.78
  4. Step 4: Simplify right side
    870.26x = 647,117.88
  5. Step 5: Solve for x
    x = 647,117.88/870.26
  6. Step 6: Final answer
    x = 743.59

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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.