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Finding the Fourth Proportional to 1,108.79, 1,654.75 and 985.77

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Solution

The fourth proportional to 1,108.79, 1,654.75 and 985.77 is: 1,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.79 : 1,654.75 = 985.77 : x
  2. Step 2: Convert to fraction form
    1,108.79/1,654.75 = 985.77/x
  3. Step 3: Cross multiply
    1,108.79x = 1,654.75 × 985.77
  4. Step 4: Simplify right side
    1,108.79x = 1,631,196.31
  5. Step 5: Solve for x
    x = 1,631,196.31/1,108.79
  6. Step 6: Final answer
    x = 1,471.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.