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Finding the Fourth Proportional to 1,199.41, 1,798.81 and 458.87

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Solution

The fourth proportional to 1,199.41, 1,798.81 and 458.87 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.41 : 1,798.81 = 458.87 : x
  2. Step 2: Convert to fraction form
    1,199.41/1,798.81 = 458.87/x
  3. Step 3: Cross multiply
    1,199.41x = 1,798.81 × 458.87
  4. Step 4: Simplify right side
    1,199.41x = 825,409.80
  5. Step 5: Solve for x
    x = 825,409.80/1,199.41
  6. Step 6: Final answer
    x = 688.18

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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.