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Finding the Fourth Proportional to 1,193.36, 1,789.01 and 462.43

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Solution

The fourth proportional to 1,193.36, 1,789.01 and 462.43 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.36 : 1,789.01 = 462.43 : x
  2. Step 2: Convert to fraction form
    1,193.36/1,789.01 = 462.43/x
  3. Step 3: Cross multiply
    1,193.36x = 1,789.01 × 462.43
  4. Step 4: Simplify right side
    1,193.36x = 827,291.89
  5. Step 5: Solve for x
    x = 827,291.89/1,193.36
  6. Step 6: Final answer
    x = 693.25

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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.