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Finding the Fourth Proportional to 617.16, 919.77 and 596.36

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Solution

The fourth proportional to 617.16, 919.77 and 596.36 is: 888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.16 : 919.77 = 596.36 : x
  2. Step 2: Convert to fraction form
    617.16/919.77 = 596.36/x
  3. Step 3: Cross multiply
    617.16x = 919.77 × 596.36
  4. Step 4: Simplify right side
    617.16x = 548,514.04
  5. Step 5: Solve for x
    x = 548,514.04/617.16
  6. Step 6: Final answer
    x = 888.77

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