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Finding the Fourth Proportional to 1,306.43, 1,959.16 and 566.15

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Solution

The fourth proportional to 1,306.43, 1,959.16 and 566.15 is: 849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.43 : 1,959.16 = 566.15 : x
  2. Step 2: Convert to fraction form
    1,306.43/1,959.16 = 566.15/x
  3. Step 3: Cross multiply
    1,306.43x = 1,959.16 × 566.15
  4. Step 4: Simplify right side
    1,306.43x = 1,109,178.43
  5. Step 5: Solve for x
    x = 1,109,178.43/1,306.43
  6. Step 6: Final answer
    x = 849.01

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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.