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Finding the Fourth Proportional to 788.48, 1,182.90 and 557.82

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Solution

The fourth proportional to 788.48, 1,182.90 and 557.82 is: 836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,182.90 = 557.82 : x
  2. Step 2: Convert to fraction form
    788.48/1,182.90 = 557.82/x
  3. Step 3: Cross multiply
    788.48x = 1,182.90 × 557.82
  4. Step 4: Simplify right side
    788.48x = 659,844.23
  5. Step 5: Solve for x
    x = 659,844.23/788.48
  6. Step 6: Final answer
    x = 836.86

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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.