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Finding the Fourth Proportional to 1,464.71, 2,021.36 and 801.62

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Solution

The fourth proportional to 1,464.71, 2,021.36 and 801.62 is: 1,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.71 : 2,021.36 = 801.62 : x
  2. Step 2: Convert to fraction form
    1,464.71/2,021.36 = 801.62/x
  3. Step 3: Cross multiply
    1,464.71x = 2,021.36 × 801.62
  4. Step 4: Simplify right side
    1,464.71x = 1,620,362.60
  5. Step 5: Solve for x
    x = 1,620,362.60/1,464.71
  6. Step 6: Final answer
    x = 1,106.27

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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.