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Finding the Fourth Proportional to 1,464.41, 2,020.94 and 801.32

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Solution

The fourth proportional to 1,464.41, 2,020.94 and 801.32 is: 1,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.41 : 2,020.94 = 801.32 : x
  2. Step 2: Convert to fraction form
    1,464.41/2,020.94 = 801.32/x
  3. Step 3: Cross multiply
    1,464.41x = 2,020.94 × 801.32
  4. Step 4: Simplify right side
    1,464.41x = 1,619,405.53
  5. Step 5: Solve for x
    x = 1,619,405.53/1,464.41
  6. Step 6: Final answer
    x = 1,105.85

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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.