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Finding the Fourth Proportional to 1,496.61, 2,244.74 and 401.06

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Solution

The fourth proportional to 1,496.61, 2,244.74 and 401.06 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.61 : 2,244.74 = 401.06 : x
  2. Step 2: Convert to fraction form
    1,496.61/2,244.74 = 401.06/x
  3. Step 3: Cross multiply
    1,496.61x = 2,244.74 × 401.06
  4. Step 4: Simplify right side
    1,496.61x = 900,275.42
  5. Step 5: Solve for x
    x = 900,275.42/1,496.61
  6. Step 6: Final answer
    x = 601.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.