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Finding the Fourth Proportional to 696.40, 958.18 and 602.85

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Solution

The fourth proportional to 696.40, 958.18 and 602.85 is: 829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 958.18 = 602.85 : x
  2. Step 2: Convert to fraction form
    696.40/958.18 = 602.85/x
  3. Step 3: Cross multiply
    696.40x = 958.18 × 602.85
  4. Step 4: Simplify right side
    696.40x = 577,638.81
  5. Step 5: Solve for x
    x = 577,638.81/696.40
  6. Step 6: Final answer
    x = 829.46

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Why These Related Problems?

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