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Finding the Fourth Proportional to 711.47, 1,066.37 and 537.57

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Solution

The fourth proportional to 711.47, 1,066.37 and 537.57 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.47 : 1,066.37 = 537.57 : x
  2. Step 2: Convert to fraction form
    711.47/1,066.37 = 537.57/x
  3. Step 3: Cross multiply
    711.47x = 1,066.37 × 537.57
  4. Step 4: Simplify right side
    711.47x = 573,245.83
  5. Step 5: Solve for x
    x = 573,245.83/711.47
  6. Step 6: Final answer
    x = 805.72

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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.