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Finding the Fourth Proportional to 928.55, 1,391.00 and 564.05

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Solution

The fourth proportional to 928.55, 1,391.00 and 564.05 is: 844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.55 : 1,391.00 = 564.05 : x
  2. Step 2: Convert to fraction form
    928.55/1,391.00 = 564.05/x
  3. Step 3: Cross multiply
    928.55x = 1,391.00 × 564.05
  4. Step 4: Simplify right side
    928.55x = 784,583.77
  5. Step 5: Solve for x
    x = 784,583.77/928.55
  6. Step 6: Final answer
    x = 844.96

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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.