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Finding the Fourth Proportional to 1,143.22, 1,577.49 and 722.83

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Solution

The fourth proportional to 1,143.22, 1,577.49 and 722.83 is: 997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.22 : 1,577.49 = 722.83 : x
  2. Step 2: Convert to fraction form
    1,143.22/1,577.49 = 722.83/x
  3. Step 3: Cross multiply
    1,143.22x = 1,577.49 × 722.83
  4. Step 4: Simplify right side
    1,143.22x = 1,140,257.47
  5. Step 5: Solve for x
    x = 1,140,257.47/1,143.22
  6. Step 6: Final answer
    x = 997.41

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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.