Home / 1,233.06-1,849.90-583.62

Finding the Fourth Proportional to 1,233.06, 1,849.90 and 583.62

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Solution

The fourth proportional to 1,233.06, 1,849.90 and 583.62 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.06 : 1,849.90 = 583.62 : x
  2. Step 2: Convert to fraction form
    1,233.06/1,849.90 = 583.62/x
  3. Step 3: Cross multiply
    1,233.06x = 1,849.90 × 583.62
  4. Step 4: Simplify right side
    1,233.06x = 1,079,638.64
  5. Step 5: Solve for x
    x = 1,079,638.64/1,233.06
  6. Step 6: Final answer
    x = 875.58

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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.