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Finding the Fourth Proportional to 786.06, 1,177.70 and 701.32

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Solution

The fourth proportional to 786.06, 1,177.70 and 701.32 is: 1,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,177.70 = 701.32 : x
  2. Step 2: Convert to fraction form
    786.06/1,177.70 = 701.32/x
  3. Step 3: Cross multiply
    786.06x = 1,177.70 × 701.32
  4. Step 4: Simplify right side
    786.06x = 825,944.56
  5. Step 5: Solve for x
    x = 825,944.56/786.06
  6. Step 6: Final answer
    x = 1,050.74

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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.