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Finding the Fourth Proportional to 697.50, 964.62 and 623.70

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Solution

The fourth proportional to 697.50, 964.62 and 623.70 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 964.62 = 623.70 : x
  2. Step 2: Convert to fraction form
    697.50/964.62 = 623.70/x
  3. Step 3: Cross multiply
    697.50x = 964.62 × 623.70
  4. Step 4: Simplify right side
    697.50x = 601,633.49
  5. Step 5: Solve for x
    x = 601,633.49/697.50
  6. Step 6: Final answer
    x = 862.56

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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.