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Finding the Fourth Proportional to 616.77, 919.62 and 605.84

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Solution

The fourth proportional to 616.77, 919.62 and 605.84 is: 903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 919.62 = 605.84 : x
  2. Step 2: Convert to fraction form
    616.77/919.62 = 605.84/x
  3. Step 3: Cross multiply
    616.77x = 919.62 × 605.84
  4. Step 4: Simplify right side
    616.77x = 557,137.98
  5. Step 5: Solve for x
    x = 557,137.98/616.77
  6. Step 6: Final answer
    x = 903.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.