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Finding the Fourth Proportional to 1,496.16, 2,243.52 and 630.24

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Solution

The fourth proportional to 1,496.16, 2,243.52 and 630.24 is: 945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.16 : 2,243.52 = 630.24 : x
  2. Step 2: Convert to fraction form
    1,496.16/2,243.52 = 630.24/x
  3. Step 3: Cross multiply
    1,496.16x = 2,243.52 × 630.24
  4. Step 4: Simplify right side
    1,496.16x = 1,413,956.04
  5. Step 5: Solve for x
    x = 1,413,956.04/1,496.16
  6. Step 6: Final answer
    x = 945.06

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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.