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Finding the Fourth Proportional to 1,442.08, 2,163.02 and 517.59

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Solution

The fourth proportional to 1,442.08, 2,163.02 and 517.59 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.08 : 2,163.02 = 517.59 : x
  2. Step 2: Convert to fraction form
    1,442.08/2,163.02 = 517.59/x
  3. Step 3: Cross multiply
    1,442.08x = 2,163.02 × 517.59
  4. Step 4: Simplify right side
    1,442.08x = 1,119,557.52
  5. Step 5: Solve for x
    x = 1,119,557.52/1,442.08
  6. Step 6: Final answer
    x = 776.35

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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.