Home / 1,055.22-1,456.20-583.14

Finding the Fourth Proportional to 1,055.22, 1,456.20 and 583.14

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Solution

The fourth proportional to 1,055.22, 1,456.20 and 583.14 is: 804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.22 : 1,456.20 = 583.14 : x
  2. Step 2: Convert to fraction form
    1,055.22/1,456.20 = 583.14/x
  3. Step 3: Cross multiply
    1,055.22x = 1,456.20 × 583.14
  4. Step 4: Simplify right side
    1,055.22x = 849,168.47
  5. Step 5: Solve for x
    x = 849,168.47/1,055.22
  6. Step 6: Final answer
    x = 804.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.