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Finding the Fourth Proportional to 781.16, 1,070.36 and 773.96

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Solution

The fourth proportional to 781.16, 1,070.36 and 773.96 is: 1,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.16 : 1,070.36 = 773.96 : x
  2. Step 2: Convert to fraction form
    781.16/1,070.36 = 773.96/x
  3. Step 3: Cross multiply
    781.16x = 1,070.36 × 773.96
  4. Step 4: Simplify right side
    781.16x = 828,415.83
  5. Step 5: Solve for x
    x = 828,415.83/781.16
  6. Step 6: Final answer
    x = 1,060.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.