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Finding the Fourth Proportional to 681.42, 1,022.32 and 617.16

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Solution

The fourth proportional to 681.42, 1,022.32 and 617.16 is: 925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.42 : 1,022.32 = 617.16 : x
  2. Step 2: Convert to fraction form
    681.42/1,022.32 = 617.16/x
  3. Step 3: Cross multiply
    681.42x = 1,022.32 × 617.16
  4. Step 4: Simplify right side
    681.42x = 630,935.01
  5. Step 5: Solve for x
    x = 630,935.01/681.42
  6. Step 6: Final answer
    x = 925.91

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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.