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Finding the Fourth Proportional to 852.64, 1,278.96 and 564.01

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Solution

The fourth proportional to 852.64, 1,278.96 and 564.01 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.64 : 1,278.96 = 564.01 : x
  2. Step 2: Convert to fraction form
    852.64/1,278.96 = 564.01/x
  3. Step 3: Cross multiply
    852.64x = 1,278.96 × 564.01
  4. Step 4: Simplify right side
    852.64x = 721,346.23
  5. Step 5: Solve for x
    x = 721,346.23/852.64
  6. Step 6: Final answer
    x = 846.02

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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.