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Finding the Fourth Proportional to 1,226.31, 1,840.68 and 577.50

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Solution

The fourth proportional to 1,226.31, 1,840.68 and 577.50 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.31 : 1,840.68 = 577.50 : x
  2. Step 2: Convert to fraction form
    1,226.31/1,840.68 = 577.50/x
  3. Step 3: Cross multiply
    1,226.31x = 1,840.68 × 577.50
  4. Step 4: Simplify right side
    1,226.31x = 1,062,992.70
  5. Step 5: Solve for x
    x = 1,062,992.70/1,226.31
  6. Step 6: Final answer
    x = 866.82

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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.