Home / 1,306.29-1,959.24-566.19

Finding the Fourth Proportional to 1,306.29, 1,959.24 and 566.19

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Solution

The fourth proportional to 1,306.29, 1,959.24 and 566.19 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.29 : 1,959.24 = 566.19 : x
  2. Step 2: Convert to fraction form
    1,306.29/1,959.24 = 566.19/x
  3. Step 3: Cross multiply
    1,306.29x = 1,959.24 × 566.19
  4. Step 4: Simplify right side
    1,306.29x = 1,109,302.10
  5. Step 5: Solve for x
    x = 1,109,302.10/1,306.29
  6. Step 6: Final answer
    x = 849.20

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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.