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Finding the Fourth Proportional to 810.35, 1,216.49 and 777.34

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Solution

The fourth proportional to 810.35, 1,216.49 and 777.34 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,216.49 = 777.34 : x
  2. Step 2: Convert to fraction form
    810.35/1,216.49 = 777.34/x
  3. Step 3: Cross multiply
    810.35x = 1,216.49 × 777.34
  4. Step 4: Simplify right side
    810.35x = 945,622.45
  5. Step 5: Solve for x
    x = 945,622.45/810.35
  6. Step 6: Final answer
    x = 1,166.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.