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Finding the Fourth Proportional to 1,094.34, 1,500.02 and 1,078.97

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Solution

The fourth proportional to 1,094.34, 1,500.02 and 1,078.97 is: 1,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,500.02 = 1,078.97 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,500.02 = 1,078.97/x
  3. Step 3: Cross multiply
    1,094.34x = 1,500.02 × 1,078.97
  4. Step 4: Simplify right side
    1,094.34x = 1,618,463.68
  5. Step 5: Solve for x
    x = 1,618,463.68/1,094.34
  6. Step 6: Final answer
    x = 1,478.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.