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Finding the Fourth Proportional to 1,078.40, 1,616.94 and 522.92

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Solution

The fourth proportional to 1,078.40, 1,616.94 and 522.92 is: 784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.40 : 1,616.94 = 522.92 : x
  2. Step 2: Convert to fraction form
    1,078.40/1,616.94 = 522.92/x
  3. Step 3: Cross multiply
    1,078.40x = 1,616.94 × 522.92
  4. Step 4: Simplify right side
    1,078.40x = 845,530.26
  5. Step 5: Solve for x
    x = 845,530.26/1,078.40
  6. Step 6: Final answer
    x = 784.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.