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Finding the Fourth Proportional to 874.17, 1,307.34 and 777.27

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Solution

The fourth proportional to 874.17, 1,307.34 and 777.27 is: 1,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,307.34 = 777.27 : x
  2. Step 2: Convert to fraction form
    874.17/1,307.34 = 777.27/x
  3. Step 3: Cross multiply
    874.17x = 1,307.34 × 777.27
  4. Step 4: Simplify right side
    874.17x = 1,016,156.16
  5. Step 5: Solve for x
    x = 1,016,156.16/874.17
  6. Step 6: Final answer
    x = 1,162.42

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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.