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Finding the Fourth Proportional to 1,416.33, 2,124.63 and 442.41

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Solution

The fourth proportional to 1,416.33, 2,124.63 and 442.41 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.33 : 2,124.63 = 442.41 : x
  2. Step 2: Convert to fraction form
    1,416.33/2,124.63 = 442.41/x
  3. Step 3: Cross multiply
    1,416.33x = 2,124.63 × 442.41
  4. Step 4: Simplify right side
    1,416.33x = 939,957.56
  5. Step 5: Solve for x
    x = 939,957.56/1,416.33
  6. Step 6: Final answer
    x = 663.66

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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.