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Finding the Fourth Proportional to 701.23, 966.96 and 602.01

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Solution

The fourth proportional to 701.23, 966.96 and 602.01 is: 830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.23 : 966.96 = 602.01 : x
  2. Step 2: Convert to fraction form
    701.23/966.96 = 602.01/x
  3. Step 3: Cross multiply
    701.23x = 966.96 × 602.01
  4. Step 4: Simplify right side
    701.23x = 582,119.59
  5. Step 5: Solve for x
    x = 582,119.59/701.23
  6. Step 6: Final answer
    x = 830.14

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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.