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Finding the Fourth Proportional to 695.60, 1,043.41 and 558.30

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Solution

The fourth proportional to 695.60, 1,043.41 and 558.30 is: 837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.60 : 1,043.41 = 558.30 : x
  2. Step 2: Convert to fraction form
    695.60/1,043.41 = 558.30/x
  3. Step 3: Cross multiply
    695.60x = 1,043.41 × 558.30
  4. Step 4: Simplify right side
    695.60x = 582,535.80
  5. Step 5: Solve for x
    x = 582,535.80/695.60
  6. Step 6: Final answer
    x = 837.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.