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Finding the Fourth Proportional to 1,148.66, 1,723.08 and 499.43

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Solution

The fourth proportional to 1,148.66, 1,723.08 and 499.43 is: 749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.66 : 1,723.08 = 499.43 : x
  2. Step 2: Convert to fraction form
    1,148.66/1,723.08 = 499.43/x
  3. Step 3: Cross multiply
    1,148.66x = 1,723.08 × 499.43
  4. Step 4: Simplify right side
    1,148.66x = 860,557.84
  5. Step 5: Solve for x
    x = 860,557.84/1,148.66
  6. Step 6: Final answer
    x = 749.18

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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.