Home / 1,406.22-2,108.54-583.94

Finding the Fourth Proportional to 1,406.22, 2,108.54 and 583.94

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Solution

The fourth proportional to 1,406.22, 2,108.54 and 583.94 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.22 : 2,108.54 = 583.94 : x
  2. Step 2: Convert to fraction form
    1,406.22/2,108.54 = 583.94/x
  3. Step 3: Cross multiply
    1,406.22x = 2,108.54 × 583.94
  4. Step 4: Simplify right side
    1,406.22x = 1,231,260.85
  5. Step 5: Solve for x
    x = 1,231,260.85/1,406.22
  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.