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Finding the Fourth Proportional to 650.11, 896.23 and 509.68

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Solution

The fourth proportional to 650.11, 896.23 and 509.68 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.11 : 896.23 = 509.68 : x
  2. Step 2: Convert to fraction form
    650.11/896.23 = 509.68/x
  3. Step 3: Cross multiply
    650.11x = 896.23 × 509.68
  4. Step 4: Simplify right side
    650.11x = 456,790.51
  5. Step 5: Solve for x
    x = 456,790.51/650.11
  6. Step 6: Final answer
    x = 702.64

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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.