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Finding the Fourth Proportional to 677.62, 934.64 and 573.67

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Solution

The fourth proportional to 677.62, 934.64 and 573.67 is: 791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 934.64 = 573.67 : x
  2. Step 2: Convert to fraction form
    677.62/934.64 = 573.67/x
  3. Step 3: Cross multiply
    677.62x = 934.64 × 573.67
  4. Step 4: Simplify right side
    677.62x = 536,172.06
  5. Step 5: Solve for x
    x = 536,172.06/677.62
  6. Step 6: Final answer
    x = 791.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.