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Finding the Fourth Proportional to 848.60, 1,168.47 and 743.10

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Solution

The fourth proportional to 848.60, 1,168.47 and 743.10 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.60 : 1,168.47 = 743.10 : x
  2. Step 2: Convert to fraction form
    848.60/1,168.47 = 743.10/x
  3. Step 3: Cross multiply
    848.60x = 1,168.47 × 743.10
  4. Step 4: Simplify right side
    848.60x = 868,290.06
  5. Step 5: Solve for x
    x = 868,290.06/848.60
  6. Step 6: Final answer
    x = 1,023.20

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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.