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Finding the Fourth Proportional to 1,234.70, 1,851.60 and 618.20

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Solution

The fourth proportional to 1,234.70, 1,851.60 and 618.20 is: 927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.70 : 1,851.60 = 618.20 : x
  2. Step 2: Convert to fraction form
    1,234.70/1,851.60 = 618.20/x
  3. Step 3: Cross multiply
    1,234.70x = 1,851.60 × 618.20
  4. Step 4: Simplify right side
    1,234.70x = 1,144,659.12
  5. Step 5: Solve for x
    x = 1,144,659.12/1,234.70
  6. Step 6: Final answer
    x = 927.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.