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Finding the Fourth Proportional to 1,433.96, 1,978.34 and 874.24

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Solution

The fourth proportional to 1,433.96, 1,978.34 and 874.24 is: 1,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.96 : 1,978.34 = 874.24 : x
  2. Step 2: Convert to fraction form
    1,433.96/1,978.34 = 874.24/x
  3. Step 3: Cross multiply
    1,433.96x = 1,978.34 × 874.24
  4. Step 4: Simplify right side
    1,433.96x = 1,729,543.96
  5. Step 5: Solve for x
    x = 1,729,543.96/1,433.96
  6. Step 6: Final answer
    x = 1,206.13

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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.