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Finding the Fourth Proportional to 1,440.29, 2,159.69 and 466.26

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Solution

The fourth proportional to 1,440.29, 2,159.69 and 466.26 is: 699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.29 : 2,159.69 = 466.26 : x
  2. Step 2: Convert to fraction form
    1,440.29/2,159.69 = 466.26/x
  3. Step 3: Cross multiply
    1,440.29x = 2,159.69 × 466.26
  4. Step 4: Simplify right side
    1,440.29x = 1,006,974.73
  5. Step 5: Solve for x
    x = 1,006,974.73/1,440.29
  6. Step 6: Final answer
    x = 699.15

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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.