Home / 1,055.24-1,456.26-589.52

Finding the Fourth Proportional to 1,055.24, 1,456.26 and 589.52

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Solution

The fourth proportional to 1,055.24, 1,456.26 and 589.52 is: 813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.24 : 1,456.26 = 589.52 : x
  2. Step 2: Convert to fraction form
    1,055.24/1,456.26 = 589.52/x
  3. Step 3: Cross multiply
    1,055.24x = 1,456.26 × 589.52
  4. Step 4: Simplify right side
    1,055.24x = 858,494.40
  5. Step 5: Solve for x
    x = 858,494.40/1,055.24
  6. Step 6: Final answer
    x = 813.55

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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.