Home / 1,364.90-2,048.24-749.04

Finding the Fourth Proportional to 1,364.90, 2,048.24 and 749.04

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Solution

The fourth proportional to 1,364.90, 2,048.24 and 749.04 is: 1,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.90 : 2,048.24 = 749.04 : x
  2. Step 2: Convert to fraction form
    1,364.90/2,048.24 = 749.04/x
  3. Step 3: Cross multiply
    1,364.90x = 2,048.24 × 749.04
  4. Step 4: Simplify right side
    1,364.90x = 1,534,213.69
  5. Step 5: Solve for x
    x = 1,534,213.69/1,364.90
  6. Step 6: Final answer
    x = 1,124.05

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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.