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Finding the Fourth Proportional to 1,663.58, 2,494.59 and 493.16

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Solution

The fourth proportional to 1,663.58, 2,494.59 and 493.16 is: 739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.58 : 2,494.59 = 493.16 : x
  2. Step 2: Convert to fraction form
    1,663.58/2,494.59 = 493.16/x
  3. Step 3: Cross multiply
    1,663.58x = 2,494.59 × 493.16
  4. Step 4: Simplify right side
    1,663.58x = 1,230,232.00
  5. Step 5: Solve for x
    x = 1,230,232.00/1,663.58
  6. Step 6: Final answer
    x = 739.51

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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.