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Finding the Fourth Proportional to 985.21, 1,360.15 and 654.09

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Solution

The fourth proportional to 985.21, 1,360.15 and 654.09 is: 903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.21 : 1,360.15 = 654.09 : x
  2. Step 2: Convert to fraction form
    985.21/1,360.15 = 654.09/x
  3. Step 3: Cross multiply
    985.21x = 1,360.15 × 654.09
  4. Step 4: Simplify right side
    985.21x = 889,663.27
  5. Step 5: Solve for x
    x = 889,663.27/985.21
  6. Step 6: Final answer
    x = 903.02

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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.