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Finding the Fourth Proportional to 788.12, 1,181.25 and 463.70

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Solution

The fourth proportional to 788.12, 1,181.25 and 463.70 is: 695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.12 : 1,181.25 = 463.70 : x
  2. Step 2: Convert to fraction form
    788.12/1,181.25 = 463.70/x
  3. Step 3: Cross multiply
    788.12x = 1,181.25 × 463.70
  4. Step 4: Simplify right side
    788.12x = 547,745.63
  5. Step 5: Solve for x
    x = 547,745.63/788.12
  6. Step 6: Final answer
    x = 695.00

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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.