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Finding the Fourth Proportional to 1,664.53, 2,496.94 and 478.58

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Solution

The fourth proportional to 1,664.53, 2,496.94 and 478.58 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.53 : 2,496.94 = 478.58 : x
  2. Step 2: Convert to fraction form
    1,664.53/2,496.94 = 478.58/x
  3. Step 3: Cross multiply
    1,664.53x = 2,496.94 × 478.58
  4. Step 4: Simplify right side
    1,664.53x = 1,194,978.11
  5. Step 5: Solve for x
    x = 1,194,978.11/1,664.53
  6. Step 6: Final answer
    x = 717.91

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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.