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Finding the Fourth Proportional to 1,226.30, 1,840.80 and 678.20

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Solution

The fourth proportional to 1,226.30, 1,840.80 and 678.20 is: 1,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.30 : 1,840.80 = 678.20 : x
  2. Step 2: Convert to fraction form
    1,226.30/1,840.80 = 678.20/x
  3. Step 3: Cross multiply
    1,226.30x = 1,840.80 × 678.20
  4. Step 4: Simplify right side
    1,226.30x = 1,248,430.56
  5. Step 5: Solve for x
    x = 1,248,430.56/1,226.30
  6. Step 6: Final answer
    x = 1,018.05

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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.