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Finding the Fourth Proportional to 1,416.66, 2,125.17 and 442.68

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Solution

The fourth proportional to 1,416.66, 2,125.17 and 442.68 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.66 : 2,125.17 = 442.68 : x
  2. Step 2: Convert to fraction form
    1,416.66/2,125.17 = 442.68/x
  3. Step 3: Cross multiply
    1,416.66x = 2,125.17 × 442.68
  4. Step 4: Simplify right side
    1,416.66x = 940,770.26
  5. Step 5: Solve for x
    x = 940,770.26/1,416.66
  6. Step 6: Final answer
    x = 664.08

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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.