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Finding the Fourth Proportional to 1,489.02, 2,233.73 and 623.13

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Solution

The fourth proportional to 1,489.02, 2,233.73 and 623.13 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.02 : 2,233.73 = 623.13 : x
  2. Step 2: Convert to fraction form
    1,489.02/2,233.73 = 623.13/x
  3. Step 3: Cross multiply
    1,489.02x = 2,233.73 × 623.13
  4. Step 4: Simplify right side
    1,489.02x = 1,391,904.17
  5. Step 5: Solve for x
    x = 1,391,904.17/1,489.02
  6. Step 6: Final answer
    x = 934.78

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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.