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Finding the Fourth Proportional to 1,209.72, 1,670.40 and 985.69

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Solution

The fourth proportional to 1,209.72, 1,670.40 and 985.69 is: 1,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.72 : 1,670.40 = 985.69 : x
  2. Step 2: Convert to fraction form
    1,209.72/1,670.40 = 985.69/x
  3. Step 3: Cross multiply
    1,209.72x = 1,670.40 × 985.69
  4. Step 4: Simplify right side
    1,209.72x = 1,646,490.02
  5. Step 5: Solve for x
    x = 1,646,490.02/1,209.72
  6. Step 6: Final answer
    x = 1,361.05

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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.