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Finding the Fourth Proportional to 1,267.31, 1,899.72 and 574.49

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Solution

The fourth proportional to 1,267.31, 1,899.72 and 574.49 is: 861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.31 : 1,899.72 = 574.49 : x
  2. Step 2: Convert to fraction form
    1,267.31/1,899.72 = 574.49/x
  3. Step 3: Cross multiply
    1,267.31x = 1,899.72 × 574.49
  4. Step 4: Simplify right side
    1,267.31x = 1,091,374.89
  5. Step 5: Solve for x
    x = 1,091,374.89/1,267.31
  6. Step 6: Final answer
    x = 861.17

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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.