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Finding the Fourth Proportional to 777.64, 1,166.64 and 257.64

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Solution

The fourth proportional to 777.64, 1,166.64 and 257.64 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.64 : 1,166.64 = 257.64 : x
  2. Step 2: Convert to fraction form
    777.64/1,166.64 = 257.64/x
  3. Step 3: Cross multiply
    777.64x = 1,166.64 × 257.64
  4. Step 4: Simplify right side
    777.64x = 300,567.30
  5. Step 5: Solve for x
    x = 300,567.30/777.64
  6. Step 6: Final answer
    x = 386.51

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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.