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Finding the Fourth Proportional to 1,709.25, 2,562.86 and 668.04

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Solution

The fourth proportional to 1,709.25, 2,562.86 and 668.04 is: 1,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.25 : 2,562.86 = 668.04 : x
  2. Step 2: Convert to fraction form
    1,709.25/2,562.86 = 668.04/x
  3. Step 3: Cross multiply
    1,709.25x = 2,562.86 × 668.04
  4. Step 4: Simplify right side
    1,709.25x = 1,712,101.77
  5. Step 5: Solve for x
    x = 1,712,101.77/1,709.25
  6. Step 6: Final answer
    x = 1,001.67

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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.