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Finding the Fourth Proportional to 1,483.24, 2,224.93 and 661.57

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Solution

The fourth proportional to 1,483.24, 2,224.93 and 661.57 is: 992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.24 : 2,224.93 = 661.57 : x
  2. Step 2: Convert to fraction form
    1,483.24/2,224.93 = 661.57/x
  3. Step 3: Cross multiply
    1,483.24x = 2,224.93 × 661.57
  4. Step 4: Simplify right side
    1,483.24x = 1,471,946.94
  5. Step 5: Solve for x
    x = 1,471,946.94/1,483.24
  6. Step 6: Final answer
    x = 992.39

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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.