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Finding the Fourth Proportional to 798.67, 1,101.22 and 740.35

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Solution

The fourth proportional to 798.67, 1,101.22 and 740.35 is: 1,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.67 : 1,101.22 = 740.35 : x
  2. Step 2: Convert to fraction form
    798.67/1,101.22 = 740.35/x
  3. Step 3: Cross multiply
    798.67x = 1,101.22 × 740.35
  4. Step 4: Simplify right side
    798.67x = 815,288.23
  5. Step 5: Solve for x
    x = 815,288.23/798.67
  6. Step 6: Final answer
    x = 1,020.81

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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.