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Finding the Fourth Proportional to 906.60, 1,247.94 and 782.66

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Solution

The fourth proportional to 906.60, 1,247.94 and 782.66 is: 1,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.60 : 1,247.94 = 782.66 : x
  2. Step 2: Convert to fraction form
    906.60/1,247.94 = 782.66/x
  3. Step 3: Cross multiply
    906.60x = 1,247.94 × 782.66
  4. Step 4: Simplify right side
    906.60x = 976,712.72
  5. Step 5: Solve for x
    x = 976,712.72/906.60
  6. Step 6: Final answer
    x = 1,077.34

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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.