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Finding the Fourth Proportional to 1,224.48, 1,837.02 and 575.70

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Solution

The fourth proportional to 1,224.48, 1,837.02 and 575.70 is: 863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.48 : 1,837.02 = 575.70 : x
  2. Step 2: Convert to fraction form
    1,224.48/1,837.02 = 575.70/x
  3. Step 3: Cross multiply
    1,224.48x = 1,837.02 × 575.70
  4. Step 4: Simplify right side
    1,224.48x = 1,057,572.41
  5. Step 5: Solve for x
    x = 1,057,572.41/1,224.48
  6. Step 6: Final answer
    x = 863.69

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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.