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Finding the Fourth Proportional to 1,195.04, 1,649.71 and 797.37

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Solution

The fourth proportional to 1,195.04, 1,649.71 and 797.37 is: 1,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.04 : 1,649.71 = 797.37 : x
  2. Step 2: Convert to fraction form
    1,195.04/1,649.71 = 797.37/x
  3. Step 3: Cross multiply
    1,195.04x = 1,649.71 × 797.37
  4. Step 4: Simplify right side
    1,195.04x = 1,315,429.26
  5. Step 5: Solve for x
    x = 1,315,429.26/1,195.04
  6. Step 6: Final answer
    x = 1,100.74

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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.