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Finding the Fourth Proportional to 1,195.13, 1,649.29 and 722.87

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Solution

The fourth proportional to 1,195.13, 1,649.29 and 722.87 is: 997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.13 : 1,649.29 = 722.87 : x
  2. Step 2: Convert to fraction form
    1,195.13/1,649.29 = 722.87/x
  3. Step 3: Cross multiply
    1,195.13x = 1,649.29 × 722.87
  4. Step 4: Simplify right side
    1,195.13x = 1,192,222.26
  5. Step 5: Solve for x
    x = 1,192,222.26/1,195.13
  6. Step 6: Final answer
    x = 997.57

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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.