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Finding the Fourth Proportional to 695.80, 1,039.46 and 541.36

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Solution

The fourth proportional to 695.80, 1,039.46 and 541.36 is: 808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.80 : 1,039.46 = 541.36 : x
  2. Step 2: Convert to fraction form
    695.80/1,039.46 = 541.36/x
  3. Step 3: Cross multiply
    695.80x = 1,039.46 × 541.36
  4. Step 4: Simplify right side
    695.80x = 562,722.07
  5. Step 5: Solve for x
    x = 562,722.07/695.80
  6. Step 6: Final answer
    x = 808.74

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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.