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Finding the Fourth Proportional to 1,267.04, 1,900.96 and 689.60

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Solution

The fourth proportional to 1,267.04, 1,900.96 and 689.60 is: 1,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.04 : 1,900.96 = 689.60 : x
  2. Step 2: Convert to fraction form
    1,267.04/1,900.96 = 689.60/x
  3. Step 3: Cross multiply
    1,267.04x = 1,900.96 × 689.60
  4. Step 4: Simplify right side
    1,267.04x = 1,310,902.02
  5. Step 5: Solve for x
    x = 1,310,902.02/1,267.04
  6. Step 6: Final answer
    x = 1,034.62

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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.