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Finding the Fourth Proportional to 1,026.56, 1,415.40 and 676.64

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Solution

The fourth proportional to 1,026.56, 1,415.40 and 676.64 is: 932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.56 : 1,415.40 = 676.64 : x
  2. Step 2: Convert to fraction form
    1,026.56/1,415.40 = 676.64/x
  3. Step 3: Cross multiply
    1,026.56x = 1,415.40 × 676.64
  4. Step 4: Simplify right side
    1,026.56x = 957,716.26
  5. Step 5: Solve for x
    x = 957,716.26/1,026.56
  6. Step 6: Final answer
    x = 932.94

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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.