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Finding the Fourth Proportional to 698.41, 1,049.51 and 374.01

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Solution

The fourth proportional to 698.41, 1,049.51 and 374.01 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 1,049.51 = 374.01 : x
  2. Step 2: Convert to fraction form
    698.41/1,049.51 = 374.01/x
  3. Step 3: Cross multiply
    698.41x = 1,049.51 × 374.01
  4. Step 4: Simplify right side
    698.41x = 392,527.24
  5. Step 5: Solve for x
    x = 392,527.24/698.41
  6. Step 6: Final answer
    x = 562.03

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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.