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Finding the Fourth Proportional to 677.36, 935.94 and 560.72

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Solution

The fourth proportional to 677.36, 935.94 and 560.72 is: 774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.36 : 935.94 = 560.72 : x
  2. Step 2: Convert to fraction form
    677.36/935.94 = 560.72/x
  3. Step 3: Cross multiply
    677.36x = 935.94 × 560.72
  4. Step 4: Simplify right side
    677.36x = 524,800.28
  5. Step 5: Solve for x
    x = 524,800.28/677.36
  6. Step 6: Final answer
    x = 774.77

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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.