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Finding the Fourth Proportional to 1,205.24, 1,664.16 and 813.20

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Solution

The fourth proportional to 1,205.24, 1,664.16 and 813.20 is: 1,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.24 : 1,664.16 = 813.20 : x
  2. Step 2: Convert to fraction form
    1,205.24/1,664.16 = 813.20/x
  3. Step 3: Cross multiply
    1,205.24x = 1,664.16 × 813.20
  4. Step 4: Simplify right side
    1,205.24x = 1,353,294.91
  5. Step 5: Solve for x
    x = 1,353,294.91/1,205.24
  6. Step 6: Final answer
    x = 1,122.84

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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.