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Finding the Fourth Proportional to 1,215.99, 1,825.68 and 623.42

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Solution

The fourth proportional to 1,215.99, 1,825.68 and 623.42 is: 936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.99 : 1,825.68 = 623.42 : x
  2. Step 2: Convert to fraction form
    1,215.99/1,825.68 = 623.42/x
  3. Step 3: Cross multiply
    1,215.99x = 1,825.68 × 623.42
  4. Step 4: Simplify right side
    1,215.99x = 1,138,172.06
  5. Step 5: Solve for x
    x = 1,138,172.06/1,215.99
  6. Step 6: Final answer
    x = 936.00

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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.