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Finding the Fourth Proportional to 1,433.72, 1,978.66 and 874.22

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Solution

The fourth proportional to 1,433.72, 1,978.66 and 874.22 is: 1,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.72 : 1,978.66 = 874.22 : x
  2. Step 2: Convert to fraction form
    1,433.72/1,978.66 = 874.22/x
  3. Step 3: Cross multiply
    1,433.72x = 1,978.66 × 874.22
  4. Step 4: Simplify right side
    1,433.72x = 1,729,772.07
  5. Step 5: Solve for x
    x = 1,729,772.07/1,433.72
  6. Step 6: Final answer
    x = 1,206.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.