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Finding the Fourth Proportional to 947.91, 1,307.16 and 574.83

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Solution

The fourth proportional to 947.91, 1,307.16 and 574.83 is: 792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.91 : 1,307.16 = 574.83 : x
  2. Step 2: Convert to fraction form
    947.91/1,307.16 = 574.83/x
  3. Step 3: Cross multiply
    947.91x = 1,307.16 × 574.83
  4. Step 4: Simplify right side
    947.91x = 751,394.78
  5. Step 5: Solve for x
    x = 751,394.78/947.91
  6. Step 6: Final answer
    x = 792.69

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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.