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Finding the Fourth Proportional to 1,408.16, 1,943.20 and 818.56

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Solution

The fourth proportional to 1,408.16, 1,943.20 and 818.56 is: 1,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 1,943.20 = 818.56 : x
  2. Step 2: Convert to fraction form
    1,408.16/1,943.20 = 818.56/x
  3. Step 3: Cross multiply
    1,408.16x = 1,943.20 × 818.56
  4. Step 4: Simplify right side
    1,408.16x = 1,590,625.79
  5. Step 5: Solve for x
    x = 1,590,625.79/1,408.16
  6. Step 6: Final answer
    x = 1,129.58

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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.