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Finding the Fourth Proportional to 677.95, 933.49 and 578.15

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Solution

The fourth proportional to 677.95, 933.49 and 578.15 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.95 : 933.49 = 578.15 : x
  2. Step 2: Convert to fraction form
    677.95/933.49 = 578.15/x
  3. Step 3: Cross multiply
    677.95x = 933.49 × 578.15
  4. Step 4: Simplify right side
    677.95x = 539,697.24
  5. Step 5: Solve for x
    x = 539,697.24/677.95
  6. Step 6: Final answer
    x = 796.07

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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.