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Finding the Fourth Proportional to 985.03, 1,359.20 and 565.31

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Solution

The fourth proportional to 985.03, 1,359.20 and 565.31 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.03 : 1,359.20 = 565.31 : x
  2. Step 2: Convert to fraction form
    985.03/1,359.20 = 565.31/x
  3. Step 3: Cross multiply
    985.03x = 1,359.20 × 565.31
  4. Step 4: Simplify right side
    985.03x = 768,374.16
  5. Step 5: Solve for x
    x = 768,374.16/985.03
  6. Step 6: Final answer
    x = 780.05

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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.