Home / 1,052.24-1,452.10-586.49

Finding the Fourth Proportional to 1,052.24, 1,452.10 and 586.49

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Solution

The fourth proportional to 1,052.24, 1,452.10 and 586.49 is: 809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.24 : 1,452.10 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,052.24/1,452.10 = 586.49/x
  3. Step 3: Cross multiply
    1,052.24x = 1,452.10 × 586.49
  4. Step 4: Simplify right side
    1,052.24x = 851,642.13
  5. Step 5: Solve for x
    x = 851,642.13/1,052.24
  6. Step 6: Final answer
    x = 809.36

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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.