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Finding the Fourth Proportional to 1,026.56, 1,417.30 and 677.72

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Solution

The fourth proportional to 1,026.56, 1,417.30 and 677.72 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.56 : 1,417.30 = 677.72 : x
  2. Step 2: Convert to fraction form
    1,026.56/1,417.30 = 677.72/x
  3. Step 3: Cross multiply
    1,026.56x = 1,417.30 × 677.72
  4. Step 4: Simplify right side
    1,026.56x = 960,532.56
  5. Step 5: Solve for x
    x = 960,532.56/1,026.56
  6. Step 6: Final answer
    x = 935.68

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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.