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Finding the Fourth Proportional to 985.11, 1,359.26 and 565.41

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Solution

The fourth proportional to 985.11, 1,359.26 and 565.41 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.11 : 1,359.26 = 565.41 : x
  2. Step 2: Convert to fraction form
    985.11/1,359.26 = 565.41/x
  3. Step 3: Cross multiply
    985.11x = 1,359.26 × 565.41
  4. Step 4: Simplify right side
    985.11x = 768,536.37
  5. Step 5: Solve for x
    x = 768,536.37/985.11
  6. Step 6: Final answer
    x = 780.15

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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.