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Finding the Fourth Proportional to 1,174.82, 1,770.31 and 973.90

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Solution

The fourth proportional to 1,174.82, 1,770.31 and 973.90 is: 1,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.82 : 1,770.31 = 973.90 : x
  2. Step 2: Convert to fraction form
    1,174.82/1,770.31 = 973.90/x
  3. Step 3: Cross multiply
    1,174.82x = 1,770.31 × 973.90
  4. Step 4: Simplify right side
    1,174.82x = 1,724,104.91
  5. Step 5: Solve for x
    x = 1,724,104.91/1,174.82
  6. Step 6: Final answer
    x = 1,467.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.