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Finding the Fourth Proportional to 777.54, 1,165.47 and 411.96

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Solution

The fourth proportional to 777.54, 1,165.47 and 411.96 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,165.47 = 411.96 : x
  2. Step 2: Convert to fraction form
    777.54/1,165.47 = 411.96/x
  3. Step 3: Cross multiply
    777.54x = 1,165.47 × 411.96
  4. Step 4: Simplify right side
    777.54x = 480,127.02
  5. Step 5: Solve for x
    x = 480,127.02/777.54
  6. Step 6: Final answer
    x = 617.49

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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.