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Finding the Fourth Proportional to 1,416.68, 2,124.92 and 442.75

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Solution

The fourth proportional to 1,416.68, 2,124.92 and 442.75 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.68 : 2,124.92 = 442.75 : x
  2. Step 2: Convert to fraction form
    1,416.68/2,124.92 = 442.75/x
  3. Step 3: Cross multiply
    1,416.68x = 2,124.92 × 442.75
  4. Step 4: Simplify right side
    1,416.68x = 940,806.12
  5. Step 5: Solve for x
    x = 940,806.12/1,416.68
  6. Step 6: Final answer
    x = 664.09

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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.