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Finding the Fourth Proportional to 648.34, 971.60 and 486.14

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Solution

The fourth proportional to 648.34, 971.60 and 486.14 is: 728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.34 : 971.60 = 486.14 : x
  2. Step 2: Convert to fraction form
    648.34/971.60 = 486.14/x
  3. Step 3: Cross multiply
    648.34x = 971.60 × 486.14
  4. Step 4: Simplify right side
    648.34x = 472,326.34
  5. Step 5: Solve for x
    x = 472,326.34/648.34
  6. Step 6: Final answer
    x = 728.52

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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.