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Finding the Fourth Proportional to 675.84, 933.84 and 559.20

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Solution

The fourth proportional to 675.84, 933.84 and 559.20 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 933.84 = 559.20 : x
  2. Step 2: Convert to fraction form
    675.84/933.84 = 559.20/x
  3. Step 3: Cross multiply
    675.84x = 933.84 × 559.20
  4. Step 4: Simplify right side
    675.84x = 522,203.33
  5. Step 5: Solve for x
    x = 522,203.33/675.84
  6. Step 6: Final answer
    x = 772.67

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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.