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Finding the Fourth Proportional to 1,469.67, 2,203.71 and 646.98

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Solution

The fourth proportional to 1,469.67, 2,203.71 and 646.98 is: 970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.67 : 2,203.71 = 646.98 : x
  2. Step 2: Convert to fraction form
    1,469.67/2,203.71 = 646.98/x
  3. Step 3: Cross multiply
    1,469.67x = 2,203.71 × 646.98
  4. Step 4: Simplify right side
    1,469.67x = 1,425,756.30
  5. Step 5: Solve for x
    x = 1,425,756.30/1,469.67
  6. Step 6: Final answer
    x = 970.12

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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.