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Finding the Fourth Proportional to 1,224.68, 1,837.08 and 402.93

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Solution

The fourth proportional to 1,224.68, 1,837.08 and 402.93 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,837.08 = 402.93 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,837.08 = 402.93/x
  3. Step 3: Cross multiply
    1,224.68x = 1,837.08 × 402.93
  4. Step 4: Simplify right side
    1,224.68x = 740,214.64
  5. Step 5: Solve for x
    x = 740,214.64/1,224.68
  6. Step 6: Final answer
    x = 604.42

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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.