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Finding the Fourth Proportional to 1,641.99, 2,463.09 and 471.87

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Solution

The fourth proportional to 1,641.99, 2,463.09 and 471.87 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.99 : 2,463.09 = 471.87 : x
  2. Step 2: Convert to fraction form
    1,641.99/2,463.09 = 471.87/x
  3. Step 3: Cross multiply
    1,641.99x = 2,463.09 × 471.87
  4. Step 4: Simplify right side
    1,641.99x = 1,162,258.28
  5. Step 5: Solve for x
    x = 1,162,258.28/1,641.99
  6. Step 6: Final answer
    x = 707.84

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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.