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Finding the Fourth Proportional to 1,464.29, 2,195.79 and 848.42

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Solution

The fourth proportional to 1,464.29, 2,195.79 and 848.42 is: 1,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.29 : 2,195.79 = 848.42 : x
  2. Step 2: Convert to fraction form
    1,464.29/2,195.79 = 848.42/x
  3. Step 3: Cross multiply
    1,464.29x = 2,195.79 × 848.42
  4. Step 4: Simplify right side
    1,464.29x = 1,862,941.17
  5. Step 5: Solve for x
    x = 1,862,941.17/1,464.29
  6. Step 6: Final answer
    x = 1,272.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.