Home / 1,232.42-1,849.38-713.45

Finding the Fourth Proportional to 1,232.42, 1,849.38 and 713.45

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Solution

The fourth proportional to 1,232.42, 1,849.38 and 713.45 is: 1,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.42 : 1,849.38 = 713.45 : x
  2. Step 2: Convert to fraction form
    1,232.42/1,849.38 = 713.45/x
  3. Step 3: Cross multiply
    1,232.42x = 1,849.38 × 713.45
  4. Step 4: Simplify right side
    1,232.42x = 1,319,430.91
  5. Step 5: Solve for x
    x = 1,319,430.91/1,232.42
  6. Step 6: Final answer
    x = 1,070.61

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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.