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Finding the Fourth Proportional to 777.52, 1,166.35 and 257.41

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Solution

The fourth proportional to 777.52, 1,166.35 and 257.41 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.52 : 1,166.35 = 257.41 : x
  2. Step 2: Convert to fraction form
    777.52/1,166.35 = 257.41/x
  3. Step 3: Cross multiply
    777.52x = 1,166.35 × 257.41
  4. Step 4: Simplify right side
    777.52x = 300,230.15
  5. Step 5: Solve for x
    x = 300,230.15/777.52
  6. Step 6: Final answer
    x = 386.14

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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.