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Finding the Fourth Proportional to 1,416.65, 2,124.33 and 442.82

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Solution

The fourth proportional to 1,416.65, 2,124.33 and 442.82 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.65 : 2,124.33 = 442.82 : x
  2. Step 2: Convert to fraction form
    1,416.65/2,124.33 = 442.82/x
  3. Step 3: Cross multiply
    1,416.65x = 2,124.33 × 442.82
  4. Step 4: Simplify right side
    1,416.65x = 940,685.19
  5. Step 5: Solve for x
    x = 940,685.19/1,416.65
  6. Step 6: Final answer
    x = 664.02

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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.