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Finding the Fourth Proportional to 809.58, 1,117.62 and 574.68

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Solution

The fourth proportional to 809.58, 1,117.62 and 574.68 is: 793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.58 : 1,117.62 = 574.68 : x
  2. Step 2: Convert to fraction form
    809.58/1,117.62 = 574.68/x
  3. Step 3: Cross multiply
    809.58x = 1,117.62 × 574.68
  4. Step 4: Simplify right side
    809.58x = 642,273.86
  5. Step 5: Solve for x
    x = 642,273.86/809.58
  6. Step 6: Final answer
    x = 793.34

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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.