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Finding the Fourth Proportional to 696.24, 958.10 and 602.69

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Solution

The fourth proportional to 696.24, 958.10 and 602.69 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 958.10 = 602.69 : x
  2. Step 2: Convert to fraction form
    696.24/958.10 = 602.69/x
  3. Step 3: Cross multiply
    696.24x = 958.10 × 602.69
  4. Step 4: Simplify right side
    696.24x = 577,429.49
  5. Step 5: Solve for x
    x = 577,429.49/696.24
  6. Step 6: Final answer
    x = 829.35

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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.