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Finding the Fourth Proportional to 806.55, 1,111.85 and 569.76

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Solution

The fourth proportional to 806.55, 1,111.85 and 569.76 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.55 : 1,111.85 = 569.76 : x
  2. Step 2: Convert to fraction form
    806.55/1,111.85 = 569.76/x
  3. Step 3: Cross multiply
    806.55x = 1,111.85 × 569.76
  4. Step 4: Simplify right side
    806.55x = 633,487.66
  5. Step 5: Solve for x
    x = 633,487.66/806.55
  6. Step 6: Final answer
    x = 785.43

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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.