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Finding the Fourth Proportional to 698.50, 963.81 and 530.56

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Solution

The fourth proportional to 698.50, 963.81 and 530.56 is: 732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 963.81 = 530.56 : x
  2. Step 2: Convert to fraction form
    698.50/963.81 = 530.56/x
  3. Step 3: Cross multiply
    698.50x = 963.81 × 530.56
  4. Step 4: Simplify right side
    698.50x = 511,359.03
  5. Step 5: Solve for x
    x = 511,359.03/698.50
  6. Step 6: Final answer
    x = 732.08

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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.