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Finding the Fourth Proportional to 843.44, 1,163.57 and 594.77

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Solution

The fourth proportional to 843.44, 1,163.57 and 594.77 is: 820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.44 : 1,163.57 = 594.77 : x
  2. Step 2: Convert to fraction form
    843.44/1,163.57 = 594.77/x
  3. Step 3: Cross multiply
    843.44x = 1,163.57 × 594.77
  4. Step 4: Simplify right side
    843.44x = 692,047.74
  5. Step 5: Solve for x
    x = 692,047.74/843.44
  6. Step 6: Final answer
    x = 820.51

Related Problems

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Half scale
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Double scale
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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.