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Finding the Fourth Proportional to 766.84, 1,057.67 and 486.83

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Solution

The fourth proportional to 766.84, 1,057.67 and 486.83 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.84 : 1,057.67 = 486.83 : x
  2. Step 2: Convert to fraction form
    766.84/1,057.67 = 486.83/x
  3. Step 3: Cross multiply
    766.84x = 1,057.67 × 486.83
  4. Step 4: Simplify right side
    766.84x = 514,905.49
  5. Step 5: Solve for x
    x = 514,905.49/766.84
  6. Step 6: Final answer
    x = 671.46

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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.