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Finding the Fourth Proportional to 906.21, 1,252.53 and 800.55

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Solution

The fourth proportional to 906.21, 1,252.53 and 800.55 is: 1,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.21 : 1,252.53 = 800.55 : x
  2. Step 2: Convert to fraction form
    906.21/1,252.53 = 800.55/x
  3. Step 3: Cross multiply
    906.21x = 1,252.53 × 800.55
  4. Step 4: Simplify right side
    906.21x = 1,002,712.89
  5. Step 5: Solve for x
    x = 1,002,712.89/906.21
  6. Step 6: Final answer
    x = 1,106.49

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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.