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Finding the Fourth Proportional to 795.81, 1,097.39 and 734.30

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Solution

The fourth proportional to 795.81, 1,097.39 and 734.30 is: 1,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.81 : 1,097.39 = 734.30 : x
  2. Step 2: Convert to fraction form
    795.81/1,097.39 = 734.30/x
  3. Step 3: Cross multiply
    795.81x = 1,097.39 × 734.30
  4. Step 4: Simplify right side
    795.81x = 805,804.32
  5. Step 5: Solve for x
    x = 805,804.32/795.81
  6. Step 6: Final answer
    x = 1,012.56

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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.