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Finding the Fourth Proportional to 1,418.02, 1,956.72 and 820.42

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Solution

The fourth proportional to 1,418.02, 1,956.72 and 820.42 is: 1,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.02 : 1,956.72 = 820.42 : x
  2. Step 2: Convert to fraction form
    1,418.02/1,956.72 = 820.42/x
  3. Step 3: Cross multiply
    1,418.02x = 1,956.72 × 820.42
  4. Step 4: Simplify right side
    1,418.02x = 1,605,332.22
  5. Step 5: Solve for x
    x = 1,605,332.22/1,418.02
  6. Step 6: Final answer
    x = 1,132.09

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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.