Home / 1,149.90-1,724.80-802.24

Finding the Fourth Proportional to 1,149.90, 1,724.80 and 802.24

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Solution

The fourth proportional to 1,149.90, 1,724.80 and 802.24 is: 1,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.90 : 1,724.80 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,149.90/1,724.80 = 802.24/x
  3. Step 3: Cross multiply
    1,149.90x = 1,724.80 × 802.24
  4. Step 4: Simplify right side
    1,149.90x = 1,383,703.55
  5. Step 5: Solve for x
    x = 1,383,703.55/1,149.90
  6. Step 6: Final answer
    x = 1,203.33

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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.