Home / 1,131.20-1,696.50-583.04

Finding the Fourth Proportional to 1,131.20, 1,696.50 and 583.04

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Solution

The fourth proportional to 1,131.20, 1,696.50 and 583.04 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.20 : 1,696.50 = 583.04 : x
  2. Step 2: Convert to fraction form
    1,131.20/1,696.50 = 583.04/x
  3. Step 3: Cross multiply
    1,131.20x = 1,696.50 × 583.04
  4. Step 4: Simplify right side
    1,131.20x = 989,127.36
  5. Step 5: Solve for x
    x = 989,127.36/1,131.20
  6. Step 6: Final answer
    x = 874.41

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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.