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Finding the Fourth Proportional to 1,646.67, 2,469.96 and 476.67

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Solution

The fourth proportional to 1,646.67, 2,469.96 and 476.67 is: 714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.67 : 2,469.96 = 476.67 : x
  2. Step 2: Convert to fraction form
    1,646.67/2,469.96 = 476.67/x
  3. Step 3: Cross multiply
    1,646.67x = 2,469.96 × 476.67
  4. Step 4: Simplify right side
    1,646.67x = 1,177,355.83
  5. Step 5: Solve for x
    x = 1,177,355.83/1,646.67
  6. Step 6: Final answer
    x = 714.99

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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.