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Finding the Fourth Proportional to 1,072.78, 1,480.36 and 594.14

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Solution

The fourth proportional to 1,072.78, 1,480.36 and 594.14 is: 819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.78 : 1,480.36 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,072.78/1,480.36 = 594.14/x
  3. Step 3: Cross multiply
    1,072.78x = 1,480.36 × 594.14
  4. Step 4: Simplify right side
    1,072.78x = 879,541.09
  5. Step 5: Solve for x
    x = 879,541.09/1,072.78
  6. Step 6: Final answer
    x = 819.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.