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Finding the Fourth Proportional to 1,076.71, 1,486.10 and 656.98

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Solution

The fourth proportional to 1,076.71, 1,486.10 and 656.98 is: 906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.71 : 1,486.10 = 656.98 : x
  2. Step 2: Convert to fraction form
    1,076.71/1,486.10 = 656.98/x
  3. Step 3: Cross multiply
    1,076.71x = 1,486.10 × 656.98
  4. Step 4: Simplify right side
    1,076.71x = 976,327.88
  5. Step 5: Solve for x
    x = 976,327.88/1,076.71
  6. Step 6: Final answer
    x = 906.77

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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.