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Finding the Fourth Proportional to 1,403.37, 2,105.33 and 466.38

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Solution

The fourth proportional to 1,403.37, 2,105.33 and 466.38 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.37 : 2,105.33 = 466.38 : x
  2. Step 2: Convert to fraction form
    1,403.37/2,105.33 = 466.38/x
  3. Step 3: Cross multiply
    1,403.37x = 2,105.33 × 466.38
  4. Step 4: Simplify right side
    1,403.37x = 981,881.47
  5. Step 5: Solve for x
    x = 981,881.47/1,403.37
  6. Step 6: Final answer
    x = 699.66

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