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Finding the Fourth Proportional to 1,148.27, 1,723.10 and 498.84

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Solution

The fourth proportional to 1,148.27, 1,723.10 and 498.84 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.27 : 1,723.10 = 498.84 : x
  2. Step 2: Convert to fraction form
    1,148.27/1,723.10 = 498.84/x
  3. Step 3: Cross multiply
    1,148.27x = 1,723.10 × 498.84
  4. Step 4: Simplify right side
    1,148.27x = 859,548.71
  5. Step 5: Solve for x
    x = 859,548.71/1,148.27
  6. Step 6: Final answer
    x = 748.56

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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.