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Finding the Fourth Proportional to 777.01, 1,165.24 and 256.91

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Solution

The fourth proportional to 777.01, 1,165.24 and 256.91 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.01 : 1,165.24 = 256.91 : x
  2. Step 2: Convert to fraction form
    777.01/1,165.24 = 256.91/x
  3. Step 3: Cross multiply
    777.01x = 1,165.24 × 256.91
  4. Step 4: Simplify right side
    777.01x = 299,364.89
  5. Step 5: Solve for x
    x = 299,364.89/777.01
  6. Step 6: Final answer
    x = 385.28

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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.