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Finding the Fourth Proportional to 1,464.87, 2,021.36 and 875.19

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Solution

The fourth proportional to 1,464.87, 2,021.36 and 875.19 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.87 : 2,021.36 = 875.19 : x
  2. Step 2: Convert to fraction form
    1,464.87/2,021.36 = 875.19/x
  3. Step 3: Cross multiply
    1,464.87x = 2,021.36 × 875.19
  4. Step 4: Simplify right side
    1,464.87x = 1,769,069.68
  5. Step 5: Solve for x
    x = 1,769,069.68/1,464.87
  6. Step 6: Final answer
    x = 1,207.66

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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.