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Finding the Fourth Proportional to 985.80, 1,354.11 and 956.64

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Solution

The fourth proportional to 985.80, 1,354.11 and 956.64 is: 1,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,354.11 = 956.64 : x
  2. Step 2: Convert to fraction form
    985.80/1,354.11 = 956.64/x
  3. Step 3: Cross multiply
    985.80x = 1,354.11 × 956.64
  4. Step 4: Simplify right side
    985.80x = 1,295,395.79
  5. Step 5: Solve for x
    x = 1,295,395.79/985.80
  6. Step 6: Final answer
    x = 1,314.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.