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Finding the Fourth Proportional to 875.21, 1,313.27 and 566.98

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Solution

The fourth proportional to 875.21, 1,313.27 and 566.98 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.21 : 1,313.27 = 566.98 : x
  2. Step 2: Convert to fraction form
    875.21/1,313.27 = 566.98/x
  3. Step 3: Cross multiply
    875.21x = 1,313.27 × 566.98
  4. Step 4: Simplify right side
    875.21x = 744,597.82
  5. Step 5: Solve for x
    x = 744,597.82/875.21
  6. Step 6: Final answer
    x = 850.76

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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.