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Finding the Fourth Proportional to 648.57, 971.03 and 597.54

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Solution

The fourth proportional to 648.57, 971.03 and 597.54 is: 894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.57 : 971.03 = 597.54 : x
  2. Step 2: Convert to fraction form
    648.57/971.03 = 597.54/x
  3. Step 3: Cross multiply
    648.57x = 971.03 × 597.54
  4. Step 4: Simplify right side
    648.57x = 580,226.28
  5. Step 5: Solve for x
    x = 580,226.28/648.57
  6. Step 6: Final answer
    x = 894.62

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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.