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Finding the Fourth Proportional to 1,222.08, 1,686.47 and 662.55

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Solution

The fourth proportional to 1,222.08, 1,686.47 and 662.55 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,686.47 = 662.55 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,686.47 = 662.55/x
  3. Step 3: Cross multiply
    1,222.08x = 1,686.47 × 662.55
  4. Step 4: Simplify right side
    1,222.08x = 1,117,367.39
  5. Step 5: Solve for x
    x = 1,117,367.39/1,222.08
  6. Step 6: Final answer
    x = 914.32

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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.