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Finding the Fourth Proportional to 677.15, 1,016.33 and 579.95

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Solution

The fourth proportional to 677.15, 1,016.33 and 579.95 is: 870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,016.33 = 579.95 : x
  2. Step 2: Convert to fraction form
    677.15/1,016.33 = 579.95/x
  3. Step 3: Cross multiply
    677.15x = 1,016.33 × 579.95
  4. Step 4: Simplify right side
    677.15x = 589,412.60
  5. Step 5: Solve for x
    x = 589,412.60/677.15
  6. Step 6: Final answer
    x = 870.44

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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.