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Finding the Fourth Proportional to 1,411.99, 2,118.92 and 631.73

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Solution

The fourth proportional to 1,411.99, 2,118.92 and 631.73 is: 948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.99 : 2,118.92 = 631.73 : x
  2. Step 2: Convert to fraction form
    1,411.99/2,118.92 = 631.73/x
  3. Step 3: Cross multiply
    1,411.99x = 2,118.92 × 631.73
  4. Step 4: Simplify right side
    1,411.99x = 1,338,585.33
  5. Step 5: Solve for x
    x = 1,338,585.33/1,411.99
  6. Step 6: Final answer
    x = 948.01

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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.