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Finding the Fourth Proportional to 697.33, 966.61 and 685.72

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Solution

The fourth proportional to 697.33, 966.61 and 685.72 is: 950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.33 : 966.61 = 685.72 : x
  2. Step 2: Convert to fraction form
    697.33/966.61 = 685.72/x
  3. Step 3: Cross multiply
    697.33x = 966.61 × 685.72
  4. Step 4: Simplify right side
    697.33x = 662,818.51
  5. Step 5: Solve for x
    x = 662,818.51/697.33
  6. Step 6: Final answer
    x = 950.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.