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Finding the Fourth Proportional to 777.84, 1,165.10 and 485.44

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Solution

The fourth proportional to 777.84, 1,165.10 and 485.44 is: 727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,165.10 = 485.44 : x
  2. Step 2: Convert to fraction form
    777.84/1,165.10 = 485.44/x
  3. Step 3: Cross multiply
    777.84x = 1,165.10 × 485.44
  4. Step 4: Simplify right side
    777.84x = 565,586.14
  5. Step 5: Solve for x
    x = 565,586.14/777.84
  6. Step 6: Final answer
    x = 727.12

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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.