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Finding the Fourth Proportional to 778.26, 1,073.60 and 483.02

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Solution

The fourth proportional to 778.26, 1,073.60 and 483.02 is: 666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,073.60 = 483.02 : x
  2. Step 2: Convert to fraction form
    778.26/1,073.60 = 483.02/x
  3. Step 3: Cross multiply
    778.26x = 1,073.60 × 483.02
  4. Step 4: Simplify right side
    778.26x = 518,562.49
  5. Step 5: Solve for x
    x = 518,562.49/778.26
  6. Step 6: Final answer
    x = 666.31

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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.