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Finding the Fourth Proportional to 845.20, 1,167.06 and 565.84

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Solution

The fourth proportional to 845.20, 1,167.06 and 565.84 is: 781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.20 : 1,167.06 = 565.84 : x
  2. Step 2: Convert to fraction form
    845.20/1,167.06 = 565.84/x
  3. Step 3: Cross multiply
    845.20x = 1,167.06 × 565.84
  4. Step 4: Simplify right side
    845.20x = 660,369.23
  5. Step 5: Solve for x
    x = 660,369.23/845.20
  6. Step 6: Final answer
    x = 781.32

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1.5x scale

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.