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Finding the Fourth Proportional to 985.76, 1,359.07 and 808.07

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Solution

The fourth proportional to 985.76, 1,359.07 and 808.07 is: 1,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.76 : 1,359.07 = 808.07 : x
  2. Step 2: Convert to fraction form
    985.76/1,359.07 = 808.07/x
  3. Step 3: Cross multiply
    985.76x = 1,359.07 × 808.07
  4. Step 4: Simplify right side
    985.76x = 1,098,223.69
  5. Step 5: Solve for x
    x = 1,098,223.69/985.76
  6. Step 6: Final answer
    x = 1,114.09

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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.