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Finding the Fourth Proportional to 1,408.63, 1,943.47 and 877.22

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Solution

The fourth proportional to 1,408.63, 1,943.47 and 877.22 is: 1,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.63 : 1,943.47 = 877.22 : x
  2. Step 2: Convert to fraction form
    1,408.63/1,943.47 = 877.22/x
  3. Step 3: Cross multiply
    1,408.63x = 1,943.47 × 877.22
  4. Step 4: Simplify right side
    1,408.63x = 1,704,850.75
  5. Step 5: Solve for x
    x = 1,704,850.75/1,408.63
  6. Step 6: Final answer
    x = 1,210.29

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Why These Related Problems?

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