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Finding the Fourth Proportional to 789.77, 1,180.52 and 557.10

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Solution

The fourth proportional to 789.77, 1,180.52 and 557.10 is: 832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.77 : 1,180.52 = 557.10 : x
  2. Step 2: Convert to fraction form
    789.77/1,180.52 = 557.10/x
  3. Step 3: Cross multiply
    789.77x = 1,180.52 × 557.10
  4. Step 4: Simplify right side
    789.77x = 657,664.91
  5. Step 5: Solve for x
    x = 657,664.91/789.77
  6. Step 6: Final answer
    x = 832.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.