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Finding the Fourth Proportional to 711.94, 1,066.49 and 565.94

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Solution

The fourth proportional to 711.94, 1,066.49 and 565.94 is: 847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,066.49 = 565.94 : x
  2. Step 2: Convert to fraction form
    711.94/1,066.49 = 565.94/x
  3. Step 3: Cross multiply
    711.94x = 1,066.49 × 565.94
  4. Step 4: Simplify right side
    711.94x = 603,561.19
  5. Step 5: Solve for x
    x = 603,561.19/711.94
  6. Step 6: Final answer
    x = 847.78

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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.