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Finding the Fourth Proportional to 650.44, 970.63 and 581.23

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Solution

The fourth proportional to 650.44, 970.63 and 581.23 is: 867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 970.63 = 581.23 : x
  2. Step 2: Convert to fraction form
    650.44/970.63 = 581.23/x
  3. Step 3: Cross multiply
    650.44x = 970.63 × 581.23
  4. Step 4: Simplify right side
    650.44x = 564,159.27
  5. Step 5: Solve for x
    x = 564,159.27/650.44
  6. Step 6: Final answer
    x = 867.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.