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Finding the Fourth Proportional to 711.44, 1,065.74 and 565.43

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Solution

The fourth proportional to 711.44, 1,065.74 and 565.43 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.44 : 1,065.74 = 565.43 : x
  2. Step 2: Convert to fraction form
    711.44/1,065.74 = 565.43/x
  3. Step 3: Cross multiply
    711.44x = 1,065.74 × 565.43
  4. Step 4: Simplify right side
    711.44x = 602,601.21
  5. Step 5: Solve for x
    x = 602,601.21/711.44
  6. Step 6: Final answer
    x = 847.02

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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.