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Finding the Fourth Proportional to 696.13, 959.79 and 601.63

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Solution

The fourth proportional to 696.13, 959.79 and 601.63 is: 829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 959.79 = 601.63 : x
  2. Step 2: Convert to fraction form
    696.13/959.79 = 601.63/x
  3. Step 3: Cross multiply
    696.13x = 959.79 × 601.63
  4. Step 4: Simplify right side
    696.13x = 577,438.46
  5. Step 5: Solve for x
    x = 577,438.46/696.13
  6. Step 6: Final answer
    x = 829.50

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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.