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Finding the Fourth Proportional to 1,234.03, 1,851.05 and 493.70

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Solution

The fourth proportional to 1,234.03, 1,851.05 and 493.70 is: 740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.03 : 1,851.05 = 493.70 : x
  2. Step 2: Convert to fraction form
    1,234.03/1,851.05 = 493.70/x
  3. Step 3: Cross multiply
    1,234.03x = 1,851.05 × 493.70
  4. Step 4: Simplify right side
    1,234.03x = 913,863.92
  5. Step 5: Solve for x
    x = 913,863.92/1,234.03
  6. Step 6: Final answer
    x = 740.55

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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.