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Finding the Fourth Proportional to 1,496.32, 2,244.32 and 400.79

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Solution

The fourth proportional to 1,496.32, 2,244.32 and 400.79 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.32 : 2,244.32 = 400.79 : x
  2. Step 2: Convert to fraction form
    1,496.32/2,244.32 = 400.79/x
  3. Step 3: Cross multiply
    1,496.32x = 2,244.32 × 400.79
  4. Step 4: Simplify right side
    1,496.32x = 899,499.01
  5. Step 5: Solve for x
    x = 899,499.01/1,496.32
  6. Step 6: Final answer
    x = 601.14

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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.