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Finding the Fourth Proportional to 1,143.06, 1,715.13 and 565.86

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Solution

The fourth proportional to 1,143.06, 1,715.13 and 565.86 is: 849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.06 : 1,715.13 = 565.86 : x
  2. Step 2: Convert to fraction form
    1,143.06/1,715.13 = 565.86/x
  3. Step 3: Cross multiply
    1,143.06x = 1,715.13 × 565.86
  4. Step 4: Simplify right side
    1,143.06x = 970,523.46
  5. Step 5: Solve for x
    x = 970,523.46/1,143.06
  6. Step 6: Final answer
    x = 849.06

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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.