Home / 1,233.36-1,849.32-584.10

Finding the Fourth Proportional to 1,233.36, 1,849.32 and 584.10

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Solution

The fourth proportional to 1,233.36, 1,849.32 and 584.10 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.36 : 1,849.32 = 584.10 : x
  2. Step 2: Convert to fraction form
    1,233.36/1,849.32 = 584.10/x
  3. Step 3: Cross multiply
    1,233.36x = 1,849.32 × 584.10
  4. Step 4: Simplify right side
    1,233.36x = 1,080,187.81
  5. Step 5: Solve for x
    x = 1,080,187.81/1,233.36
  6. Step 6: Final answer
    x = 875.81

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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.