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Finding the Fourth Proportional to 795.20, 1,194.64 and 740.48

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Solution

The fourth proportional to 795.20, 1,194.64 and 740.48 is: 1,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.20 : 1,194.64 = 740.48 : x
  2. Step 2: Convert to fraction form
    795.20/1,194.64 = 740.48/x
  3. Step 3: Cross multiply
    795.20x = 1,194.64 × 740.48
  4. Step 4: Simplify right side
    795.20x = 884,607.03
  5. Step 5: Solve for x
    x = 884,607.03/795.20
  6. Step 6: Final answer
    x = 1,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.