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Finding the Fourth Proportional to 832.80, 1,247.97 and 772.05

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Solution

The fourth proportional to 832.80, 1,247.97 and 772.05 is: 1,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.80 : 1,247.97 = 772.05 : x
  2. Step 2: Convert to fraction form
    832.80/1,247.97 = 772.05/x
  3. Step 3: Cross multiply
    832.80x = 1,247.97 × 772.05
  4. Step 4: Simplify right side
    832.80x = 963,495.24
  5. Step 5: Solve for x
    x = 963,495.24/832.80
  6. Step 6: Final answer
    x = 1,156.93

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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.