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Finding the Fourth Proportional to 777.46, 1,072.83 and 497.20

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Solution

The fourth proportional to 777.46, 1,072.83 and 497.20 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,072.83 = 497.20 : x
  2. Step 2: Convert to fraction form
    777.46/1,072.83 = 497.20/x
  3. Step 3: Cross multiply
    777.46x = 1,072.83 × 497.20
  4. Step 4: Simplify right side
    777.46x = 533,408.59
  5. Step 5: Solve for x
    x = 533,408.59/777.46
  6. Step 6: Final answer
    x = 686.09

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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.