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Finding the Fourth Proportional to 678, 933.12 and 559.02

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Solution

The fourth proportional to 678, 933.12 and 559.02 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 933.12 = 559.02 : x
  2. Step 2: Convert to fraction form
    678/933.12 = 559.02/x
  3. Step 3: Cross multiply
    678x = 933.12 × 559.02
  4. Step 4: Simplify right side
    678x = 521,632.74
  5. Step 5: Solve for x
    x = 521,632.74/678
  6. Step 6: Final answer
    x = 769.37

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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.