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Finding the Fourth Proportional to 1,224.01, 1,689.15 and 664.48

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Solution

The fourth proportional to 1,224.01, 1,689.15 and 664.48 is: 916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.01 : 1,689.15 = 664.48 : x
  2. Step 2: Convert to fraction form
    1,224.01/1,689.15 = 664.48/x
  3. Step 3: Cross multiply
    1,224.01x = 1,689.15 × 664.48
  4. Step 4: Simplify right side
    1,224.01x = 1,122,406.39
  5. Step 5: Solve for x
    x = 1,122,406.39/1,224.01
  6. Step 6: Final answer
    x = 916.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.