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Finding the Fourth Proportional to 816.93, 1,127.21 and 485.46

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Solution

The fourth proportional to 816.93, 1,127.21 and 485.46 is: 669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.93 : 1,127.21 = 485.46 : x
  2. Step 2: Convert to fraction form
    816.93/1,127.21 = 485.46/x
  3. Step 3: Cross multiply
    816.93x = 1,127.21 × 485.46
  4. Step 4: Simplify right side
    816.93x = 547,212.94
  5. Step 5: Solve for x
    x = 547,212.94/816.93
  6. Step 6: Final answer
    x = 669.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.