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Finding the Fourth Proportional to 1,164.21, 1,605.90 and 691.98

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Solution

The fourth proportional to 1,164.21, 1,605.90 and 691.98 is: 954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.21 : 1,605.90 = 691.98 : x
  2. Step 2: Convert to fraction form
    1,164.21/1,605.90 = 691.98/x
  3. Step 3: Cross multiply
    1,164.21x = 1,605.90 × 691.98
  4. Step 4: Simplify right side
    1,164.21x = 1,111,250.68
  5. Step 5: Solve for x
    x = 1,111,250.68/1,164.21
  6. Step 6: Final answer
    x = 954.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.