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Finding the Fourth Proportional to 845.56, 1,166.45 and 565.85

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Solution

The fourth proportional to 845.56, 1,166.45 and 565.85 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.56 : 1,166.45 = 565.85 : x
  2. Step 2: Convert to fraction form
    845.56/1,166.45 = 565.85/x
  3. Step 3: Cross multiply
    845.56x = 1,166.45 × 565.85
  4. Step 4: Simplify right side
    845.56x = 660,039.00
  5. Step 5: Solve for x
    x = 660,039.00/845.56
  6. Step 6: Final answer
    x = 780.60

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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.