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Finding the Fourth Proportional to 1,646.52, 2,469.41 and 476.52

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Solution

The fourth proportional to 1,646.52, 2,469.41 and 476.52 is: 714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.52 : 2,469.41 = 476.52 : x
  2. Step 2: Convert to fraction form
    1,646.52/2,469.41 = 476.52/x
  3. Step 3: Cross multiply
    1,646.52x = 2,469.41 × 476.52
  4. Step 4: Simplify right side
    1,646.52x = 1,176,723.25
  5. Step 5: Solve for x
    x = 1,176,723.25/1,646.52
  6. Step 6: Final answer
    x = 714.67

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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.