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Finding the Fourth Proportional to 650.10, 899.08 and 561.66

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Solution

The fourth proportional to 650.10, 899.08 and 561.66 is: 776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 899.08 = 561.66 : x
  2. Step 2: Convert to fraction form
    650.10/899.08 = 561.66/x
  3. Step 3: Cross multiply
    650.10x = 899.08 × 561.66
  4. Step 4: Simplify right side
    650.10x = 504,977.27
  5. Step 5: Solve for x
    x = 504,977.27/650.10
  6. Step 6: Final answer
    x = 776.77

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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.