Home / 1,102.02-1,648.98-1,020.24

Finding the Fourth Proportional to 1,102.02, 1,648.98 and 1,020.24

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Solution

The fourth proportional to 1,102.02, 1,648.98 and 1,020.24 is: 1,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.02 : 1,648.98 = 1,020.24 : x
  2. Step 2: Convert to fraction form
    1,102.02/1,648.98 = 1,020.24/x
  3. Step 3: Cross multiply
    1,102.02x = 1,648.98 × 1,020.24
  4. Step 4: Simplify right side
    1,102.02x = 1,682,355.36
  5. Step 5: Solve for x
    x = 1,682,355.36/1,102.02
  6. Step 6: Final answer
    x = 1,526.61

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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.