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Finding the Fourth Proportional to 947.66, 1,421.49 and 786.47

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Solution

The fourth proportional to 947.66, 1,421.49 and 786.47 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,421.49 = 786.47 : x
  2. Step 2: Convert to fraction form
    947.66/1,421.49 = 786.47/x
  3. Step 3: Cross multiply
    947.66x = 1,421.49 × 786.47
  4. Step 4: Simplify right side
    947.66x = 1,117,952.13
  5. Step 5: Solve for x
    x = 1,117,952.13/947.66
  6. Step 6: Final answer
    x = 1,179.70

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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.