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Finding the Fourth Proportional to 1,496.42, 2,244.64 and 630.26

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Solution

The fourth proportional to 1,496.42, 2,244.64 and 630.26 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.42 : 2,244.64 = 630.26 : x
  2. Step 2: Convert to fraction form
    1,496.42/2,244.64 = 630.26/x
  3. Step 3: Cross multiply
    1,496.42x = 2,244.64 × 630.26
  4. Step 4: Simplify right side
    1,496.42x = 1,414,706.81
  5. Step 5: Solve for x
    x = 1,414,706.81/1,496.42
  6. Step 6: Final answer
    x = 945.39

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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.