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Finding the Fourth Proportional to 732.54, 1,097.73 and 678.54

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Solution

The fourth proportional to 732.54, 1,097.73 and 678.54 is: 1,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.54 : 1,097.73 = 678.54 : x
  2. Step 2: Convert to fraction form
    732.54/1,097.73 = 678.54/x
  3. Step 3: Cross multiply
    732.54x = 1,097.73 × 678.54
  4. Step 4: Simplify right side
    732.54x = 744,853.71
  5. Step 5: Solve for x
    x = 744,853.71/732.54
  6. Step 6: Final answer
    x = 1,016.81

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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.