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Finding the Fourth Proportional to 1,709.12, 2,563 and 668.96

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Solution

The fourth proportional to 1,709.12, 2,563 and 668.96 is: 1,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.12 : 2,563 = 668.96 : x
  2. Step 2: Convert to fraction form
    1,709.12/2,563 = 668.96/x
  3. Step 3: Cross multiply
    1,709.12x = 2,563 × 668.96
  4. Step 4: Simplify right side
    1,709.12x = 1,714,544.48
  5. Step 5: Solve for x
    x = 1,714,544.48/1,709.12
  6. Step 6: Final answer
    x = 1,003.17

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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.