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Finding the Fourth Proportional to 1,026.24, 1,417.18 and 677.12

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Solution

The fourth proportional to 1,026.24, 1,417.18 and 677.12 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,417.18 = 677.12 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,417.18 = 677.12/x
  3. Step 3: Cross multiply
    1,026.24x = 1,417.18 × 677.12
  4. Step 4: Simplify right side
    1,026.24x = 959,600.92
  5. Step 5: Solve for x
    x = 959,600.92/1,026.24
  6. Step 6: Final answer
    x = 935.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.