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Finding the Fourth Proportional to 648.42, 971.42 and 503.43

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Solution

The fourth proportional to 648.42, 971.42 and 503.43 is: 754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 971.42 = 503.43 : x
  2. Step 2: Convert to fraction form
    648.42/971.42 = 503.43/x
  3. Step 3: Cross multiply
    648.42x = 971.42 × 503.43
  4. Step 4: Simplify right side
    648.42x = 489,039.45
  5. Step 5: Solve for x
    x = 489,039.45/648.42
  6. Step 6: Final answer
    x = 754.20

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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.