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Finding the Fourth Proportional to 777.60, 1,166.50 and 257.42

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Solution

The fourth proportional to 777.60, 1,166.50 and 257.42 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,166.50 = 257.42 : x
  2. Step 2: Convert to fraction form
    777.60/1,166.50 = 257.42/x
  3. Step 3: Cross multiply
    777.60x = 1,166.50 × 257.42
  4. Step 4: Simplify right side
    777.60x = 300,280.43
  5. Step 5: Solve for x
    x = 300,280.43/777.60
  6. Step 6: Final answer
    x = 386.16

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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.