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Finding the Fourth Proportional to 1,234.10, 1,851.53 and 771.24

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Solution

The fourth proportional to 1,234.10, 1,851.53 and 771.24 is: 1,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.10 : 1,851.53 = 771.24 : x
  2. Step 2: Convert to fraction form
    1,234.10/1,851.53 = 771.24/x
  3. Step 3: Cross multiply
    1,234.10x = 1,851.53 × 771.24
  4. Step 4: Simplify right side
    1,234.10x = 1,427,975.93
  5. Step 5: Solve for x
    x = 1,427,975.93/1,234.10
  6. Step 6: Final answer
    x = 1,157.10

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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.