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Finding the Fourth Proportional to 601.97, 832.68 and 503.55

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Solution

The fourth proportional to 601.97, 832.68 and 503.55 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.97 : 832.68 = 503.55 : x
  2. Step 2: Convert to fraction form
    601.97/832.68 = 503.55/x
  3. Step 3: Cross multiply
    601.97x = 832.68 × 503.55
  4. Step 4: Simplify right side
    601.97x = 419,296.01
  5. Step 5: Solve for x
    x = 419,296.01/601.97
  6. Step 6: Final answer
    x = 696.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.