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Finding the Fourth Proportional to 1,225.84, 1,837.81 and 609.07

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Solution

The fourth proportional to 1,225.84, 1,837.81 and 609.07 is: 913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.84 : 1,837.81 = 609.07 : x
  2. Step 2: Convert to fraction form
    1,225.84/1,837.81 = 609.07/x
  3. Step 3: Cross multiply
    1,225.84x = 1,837.81 × 609.07
  4. Step 4: Simplify right side
    1,225.84x = 1,119,348.52
  5. Step 5: Solve for x
    x = 1,119,348.52/1,225.84
  6. Step 6: Final answer
    x = 913.13

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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.