Home / 1,039.12-1,433.64-596.71

Finding the Fourth Proportional to 1,039.12, 1,433.64 and 596.71

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Solution

The fourth proportional to 1,039.12, 1,433.64 and 596.71 is: 823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.12 : 1,433.64 = 596.71 : x
  2. Step 2: Convert to fraction form
    1,039.12/1,433.64 = 596.71/x
  3. Step 3: Cross multiply
    1,039.12x = 1,433.64 × 596.71
  4. Step 4: Simplify right side
    1,039.12x = 855,467.32
  5. Step 5: Solve for x
    x = 855,467.32/1,039.12
  6. Step 6: Final answer
    x = 823.26

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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.