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Finding the Fourth Proportional to 780.67, 1,171 and 452.11

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Solution

The fourth proportional to 780.67, 1,171 and 452.11 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,171 = 452.11 : x
  2. Step 2: Convert to fraction form
    780.67/1,171 = 452.11/x
  3. Step 3: Cross multiply
    780.67x = 1,171 × 452.11
  4. Step 4: Simplify right side
    780.67x = 529,420.81
  5. Step 5: Solve for x
    x = 529,420.81/780.67
  6. Step 6: Final answer
    x = 678.16

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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.