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Finding the Fourth Proportional to 788.76, 1,180.86 and 594.58

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Solution

The fourth proportional to 788.76, 1,180.86 and 594.58 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,180.86 = 594.58 : x
  2. Step 2: Convert to fraction form
    788.76/1,180.86 = 594.58/x
  3. Step 3: Cross multiply
    788.76x = 1,180.86 × 594.58
  4. Step 4: Simplify right side
    788.76x = 702,115.74
  5. Step 5: Solve for x
    x = 702,115.74/788.76
  6. Step 6: Final answer
    x = 890.15

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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.