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Finding the Fourth Proportional to 939.13, 1,409.27 and 476.90

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Solution

The fourth proportional to 939.13, 1,409.27 and 476.90 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.13 : 1,409.27 = 476.90 : x
  2. Step 2: Convert to fraction form
    939.13/1,409.27 = 476.90/x
  3. Step 3: Cross multiply
    939.13x = 1,409.27 × 476.90
  4. Step 4: Simplify right side
    939.13x = 672,080.86
  5. Step 5: Solve for x
    x = 672,080.86/939.13
  6. Step 6: Final answer
    x = 715.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.