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Finding the Fourth Proportional to 650.03, 971.32 and 566.65

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Solution

The fourth proportional to 650.03, 971.32 and 566.65 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.03 : 971.32 = 566.65 : x
  2. Step 2: Convert to fraction form
    650.03/971.32 = 566.65/x
  3. Step 3: Cross multiply
    650.03x = 971.32 × 566.65
  4. Step 4: Simplify right side
    650.03x = 550,392.28
  5. Step 5: Solve for x
    x = 550,392.28/650.03
  6. Step 6: Final answer
    x = 846.72

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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.