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Finding the Fourth Proportional to 1,019.91, 1,402.08 and 877.59

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Solution

The fourth proportional to 1,019.91, 1,402.08 and 877.59 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.91 : 1,402.08 = 877.59 : x
  2. Step 2: Convert to fraction form
    1,019.91/1,402.08 = 877.59/x
  3. Step 3: Cross multiply
    1,019.91x = 1,402.08 × 877.59
  4. Step 4: Simplify right side
    1,019.91x = 1,230,451.39
  5. Step 5: Solve for x
    x = 1,230,451.39/1,019.91
  6. Step 6: Final answer
    x = 1,206.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.