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Finding the Fourth Proportional to 677.40, 935.25 and 553.36

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Solution

The fourth proportional to 677.40, 935.25 and 553.36 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 935.25 = 553.36 : x
  2. Step 2: Convert to fraction form
    677.40/935.25 = 553.36/x
  3. Step 3: Cross multiply
    677.40x = 935.25 × 553.36
  4. Step 4: Simplify right side
    677.40x = 517,527.17
  5. Step 5: Solve for x
    x = 517,527.17/677.40
  6. Step 6: Final answer
    x = 763.99

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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.