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Finding the Fourth Proportional to 1,464.97, 2,021.72 and 835.55

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Solution

The fourth proportional to 1,464.97, 2,021.72 and 835.55 is: 1,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.97 : 2,021.72 = 835.55 : x
  2. Step 2: Convert to fraction form
    1,464.97/2,021.72 = 835.55/x
  3. Step 3: Cross multiply
    1,464.97x = 2,021.72 × 835.55
  4. Step 4: Simplify right side
    1,464.97x = 1,689,248.15
  5. Step 5: Solve for x
    x = 1,689,248.15/1,464.97
  6. Step 6: Final answer
    x = 1,153.09

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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.