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Finding the Fourth Proportional to 648.30, 971.49 and 632.21

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Solution

The fourth proportional to 648.30, 971.49 and 632.21 is: 947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 971.49 = 632.21 : x
  2. Step 2: Convert to fraction form
    648.30/971.49 = 632.21/x
  3. Step 3: Cross multiply
    648.30x = 971.49 × 632.21
  4. Step 4: Simplify right side
    648.30x = 614,183.21
  5. Step 5: Solve for x
    x = 614,183.21/648.30
  6. Step 6: Final answer
    x = 947.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.