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Finding the Fourth Proportional to 845.37, 1,166.31 and 565.47

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Solution

The fourth proportional to 845.37, 1,166.31 and 565.47 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.37 : 1,166.31 = 565.47 : x
  2. Step 2: Convert to fraction form
    845.37/1,166.31 = 565.47/x
  3. Step 3: Cross multiply
    845.37x = 1,166.31 × 565.47
  4. Step 4: Simplify right side
    845.37x = 659,513.32
  5. Step 5: Solve for x
    x = 659,513.32/845.37
  6. Step 6: Final answer
    x = 780.15

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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.