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Finding the Fourth Proportional to 1,195.36, 1,793.16 and 464.99

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Solution

The fourth proportional to 1,195.36, 1,793.16 and 464.99 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.36 : 1,793.16 = 464.99 : x
  2. Step 2: Convert to fraction form
    1,195.36/1,793.16 = 464.99/x
  3. Step 3: Cross multiply
    1,195.36x = 1,793.16 × 464.99
  4. Step 4: Simplify right side
    1,195.36x = 833,805.87
  5. Step 5: Solve for x
    x = 833,805.87/1,195.36
  6. Step 6: Final answer
    x = 697.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.