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Finding the Fourth Proportional to 711.69, 1,066.16 and 505.74

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Solution

The fourth proportional to 711.69, 1,066.16 and 505.74 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.69 : 1,066.16 = 505.74 : x
  2. Step 2: Convert to fraction form
    711.69/1,066.16 = 505.74/x
  3. Step 3: Cross multiply
    711.69x = 1,066.16 × 505.74
  4. Step 4: Simplify right side
    711.69x = 539,205.02
  5. Step 5: Solve for x
    x = 539,205.02/711.69
  6. Step 6: Final answer
    x = 757.64

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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.