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Finding the Fourth Proportional to 779.47, 1,171.02 and 670.12

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Solution

The fourth proportional to 779.47, 1,171.02 and 670.12 is: 1,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.47 : 1,171.02 = 670.12 : x
  2. Step 2: Convert to fraction form
    779.47/1,171.02 = 670.12/x
  3. Step 3: Cross multiply
    779.47x = 1,171.02 × 670.12
  4. Step 4: Simplify right side
    779.47x = 784,723.51
  5. Step 5: Solve for x
    x = 784,723.51/779.47
  6. Step 6: Final answer
    x = 1,006.74

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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.