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Finding the Fourth Proportional to 644.37, 891.57 and 561.65

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Solution

The fourth proportional to 644.37, 891.57 and 561.65 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 891.57 = 561.65 : x
  2. Step 2: Convert to fraction form
    644.37/891.57 = 561.65/x
  3. Step 3: Cross multiply
    644.37x = 891.57 × 561.65
  4. Step 4: Simplify right side
    644.37x = 500,751.28
  5. Step 5: Solve for x
    x = 500,751.28/644.37
  6. Step 6: Final answer
    x = 777.12

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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.