Home / 1,164.24-1,608.05-1,156.14

Finding the Fourth Proportional to 1,164.24, 1,608.05 and 1,156.14

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Solution

The fourth proportional to 1,164.24, 1,608.05 and 1,156.14 is: 1,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.24 : 1,608.05 = 1,156.14 : x
  2. Step 2: Convert to fraction form
    1,164.24/1,608.05 = 1,156.14/x
  3. Step 3: Cross multiply
    1,164.24x = 1,608.05 × 1,156.14
  4. Step 4: Simplify right side
    1,164.24x = 1,859,133.82
  5. Step 5: Solve for x
    x = 1,859,133.82/1,164.24
  6. Step 6: Final answer
    x = 1,596.86

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