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Finding the Fourth Proportional to 848.90, 1,171.42 and 534.20

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Solution

The fourth proportional to 848.90, 1,171.42 and 534.20 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.90 : 1,171.42 = 534.20 : x
  2. Step 2: Convert to fraction form
    848.90/1,171.42 = 534.20/x
  3. Step 3: Cross multiply
    848.90x = 1,171.42 × 534.20
  4. Step 4: Simplify right side
    848.90x = 625,772.56
  5. Step 5: Solve for x
    x = 625,772.56/848.90
  6. Step 6: Final answer
    x = 737.16

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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.