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Finding the Fourth Proportional to 1,078.92, 1,616.86 and 616.01

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Solution

The fourth proportional to 1,078.92, 1,616.86 and 616.01 is: 923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.92 : 1,616.86 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,078.92/1,616.86 = 616.01/x
  3. Step 3: Cross multiply
    1,078.92x = 1,616.86 × 616.01
  4. Step 4: Simplify right side
    1,078.92x = 995,994.61
  5. Step 5: Solve for x
    x = 995,994.61/1,078.92
  6. Step 6: Final answer
    x = 923.14

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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.