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Finding the Fourth Proportional to 881.03, 1,322.14 and 874.19

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Solution

The fourth proportional to 881.03, 1,322.14 and 874.19 is: 1,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.03 : 1,322.14 = 874.19 : x
  2. Step 2: Convert to fraction form
    881.03/1,322.14 = 874.19/x
  3. Step 3: Cross multiply
    881.03x = 1,322.14 × 874.19
  4. Step 4: Simplify right side
    881.03x = 1,155,803.75
  5. Step 5: Solve for x
    x = 1,155,803.75/881.03
  6. Step 6: Final answer
    x = 1,311.89

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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.