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Finding the Fourth Proportional to 1,195.02, 1,649.34 and 697.95

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Solution

The fourth proportional to 1,195.02, 1,649.34 and 697.95 is: 963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.02 : 1,649.34 = 697.95 : x
  2. Step 2: Convert to fraction form
    1,195.02/1,649.34 = 697.95/x
  3. Step 3: Cross multiply
    1,195.02x = 1,649.34 × 697.95
  4. Step 4: Simplify right side
    1,195.02x = 1,151,156.85
  5. Step 5: Solve for x
    x = 1,151,156.85/1,195.02
  6. Step 6: Final answer
    x = 963.30

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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.