Home / 1,024.13-1,537.06-562.23

Finding the Fourth Proportional to 1,024.13, 1,537.06 and 562.23

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Solution

The fourth proportional to 1,024.13, 1,537.06 and 562.23 is: 843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,537.06 = 562.23 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,537.06 = 562.23/x
  3. Step 3: Cross multiply
    1,024.13x = 1,537.06 × 562.23
  4. Step 4: Simplify right side
    1,024.13x = 864,188.50
  5. Step 5: Solve for x
    x = 864,188.50/1,024.13
  6. Step 6: Final answer
    x = 843.83

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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.