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Finding the Fourth Proportional to 806.79, 1,113.65 and 558.93

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Solution

The fourth proportional to 806.79, 1,113.65 and 558.93 is: 771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.79 : 1,113.65 = 558.93 : x
  2. Step 2: Convert to fraction form
    806.79/1,113.65 = 558.93/x
  3. Step 3: Cross multiply
    806.79x = 1,113.65 × 558.93
  4. Step 4: Simplify right side
    806.79x = 622,455.87
  5. Step 5: Solve for x
    x = 622,455.87/806.79
  6. Step 6: Final answer
    x = 771.52

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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.