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Finding the Fourth Proportional to 1,664.57, 2,496.51 and 830.77

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Solution

The fourth proportional to 1,664.57, 2,496.51 and 830.77 is: 1,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.57 : 2,496.51 = 830.77 : x
  2. Step 2: Convert to fraction form
    1,664.57/2,496.51 = 830.77/x
  3. Step 3: Cross multiply
    1,664.57x = 2,496.51 × 830.77
  4. Step 4: Simplify right side
    1,664.57x = 2,074,019.37
  5. Step 5: Solve for x
    x = 2,074,019.37/1,664.57
  6. Step 6: Final answer
    x = 1,245.98

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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.