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Finding the Fourth Proportional to 1,225.89, 1,837.99 and 392.68

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Solution

The fourth proportional to 1,225.89, 1,837.99 and 392.68 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.89 : 1,837.99 = 392.68 : x
  2. Step 2: Convert to fraction form
    1,225.89/1,837.99 = 392.68/x
  3. Step 3: Cross multiply
    1,225.89x = 1,837.99 × 392.68
  4. Step 4: Simplify right side
    1,225.89x = 721,741.91
  5. Step 5: Solve for x
    x = 721,741.91/1,225.89
  6. Step 6: Final answer
    x = 588.75

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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.