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Finding the Fourth Proportional to 1,623.42, 2,432.82 and 698.76

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Solution

The fourth proportional to 1,623.42, 2,432.82 and 698.76 is: 1,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.42 : 2,432.82 = 698.76 : x
  2. Step 2: Convert to fraction form
    1,623.42/2,432.82 = 698.76/x
  3. Step 3: Cross multiply
    1,623.42x = 2,432.82 × 698.76
  4. Step 4: Simplify right side
    1,623.42x = 1,699,957.30
  5. Step 5: Solve for x
    x = 1,699,957.30/1,623.42
  6. Step 6: Final answer
    x = 1,047.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.