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Finding the Fourth Proportional to 644.50, 967.14 and 592.22

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Solution

The fourth proportional to 644.50, 967.14 and 592.22 is: 888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.50 : 967.14 = 592.22 : x
  2. Step 2: Convert to fraction form
    644.50/967.14 = 592.22/x
  3. Step 3: Cross multiply
    644.50x = 967.14 × 592.22
  4. Step 4: Simplify right side
    644.50x = 572,751.85
  5. Step 5: Solve for x
    x = 572,751.85/644.50
  6. Step 6: Final answer
    x = 888.68

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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.