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Finding the Fourth Proportional to 1,496.02, 2,244.08 and 400.39

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Solution

The fourth proportional to 1,496.02, 2,244.08 and 400.39 is: 600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.02 : 2,244.08 = 400.39 : x
  2. Step 2: Convert to fraction form
    1,496.02/2,244.08 = 400.39/x
  3. Step 3: Cross multiply
    1,496.02x = 2,244.08 × 400.39
  4. Step 4: Simplify right side
    1,496.02x = 898,507.19
  5. Step 5: Solve for x
    x = 898,507.19/1,496.02
  6. Step 6: Final answer
    x = 600.60

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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.