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Finding the Fourth Proportional to 1,148.62, 1,723.74 and 600.88

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Solution

The fourth proportional to 1,148.62, 1,723.74 and 600.88 is: 901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.62 : 1,723.74 = 600.88 : x
  2. Step 2: Convert to fraction form
    1,148.62/1,723.74 = 600.88/x
  3. Step 3: Cross multiply
    1,148.62x = 1,723.74 × 600.88
  4. Step 4: Simplify right side
    1,148.62x = 1,035,760.89
  5. Step 5: Solve for x
    x = 1,035,760.89/1,148.62
  6. Step 6: Final answer
    x = 901.74

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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.