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Finding the Fourth Proportional to 677.97, 1,015.02 and 561.33

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Solution

The fourth proportional to 677.97, 1,015.02 and 561.33 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.97 : 1,015.02 = 561.33 : x
  2. Step 2: Convert to fraction form
    677.97/1,015.02 = 561.33/x
  3. Step 3: Cross multiply
    677.97x = 1,015.02 × 561.33
  4. Step 4: Simplify right side
    677.97x = 569,761.18
  5. Step 5: Solve for x
    x = 569,761.18/677.97
  6. Step 6: Final answer
    x = 840.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.