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Finding the Fourth Proportional to 711.22, 1,065.40 and 565.21

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Solution

The fourth proportional to 711.22, 1,065.40 and 565.21 is: 846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.22 : 1,065.40 = 565.21 : x
  2. Step 2: Convert to fraction form
    711.22/1,065.40 = 565.21/x
  3. Step 3: Cross multiply
    711.22x = 1,065.40 × 565.21
  4. Step 4: Simplify right side
    711.22x = 602,174.73
  5. Step 5: Solve for x
    x = 602,174.73/711.22
  6. Step 6: Final answer
    x = 846.68

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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.