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Finding the Fourth Proportional to 777.70, 1,166.55 and 533.48

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Solution

The fourth proportional to 777.70, 1,166.55 and 533.48 is: 800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,166.55 = 533.48 : x
  2. Step 2: Convert to fraction form
    777.70/1,166.55 = 533.48/x
  3. Step 3: Cross multiply
    777.70x = 1,166.55 × 533.48
  4. Step 4: Simplify right side
    777.70x = 622,333.34
  5. Step 5: Solve for x
    x = 622,333.34/777.70
  6. Step 6: Final answer
    x = 800.23

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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.