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Finding the Fourth Proportional to 777.13, 1,165.93 and 257.14

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Solution

The fourth proportional to 777.13, 1,165.93 and 257.14 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.13 : 1,165.93 = 257.14 : x
  2. Step 2: Convert to fraction form
    777.13/1,165.93 = 257.14/x
  3. Step 3: Cross multiply
    777.13x = 1,165.93 × 257.14
  4. Step 4: Simplify right side
    777.13x = 299,807.24
  5. Step 5: Solve for x
    x = 299,807.24/777.13
  6. Step 6: Final answer
    x = 385.79

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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.