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Finding the Fourth Proportional to 680.27, 939.63 and 503.48

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Solution

The fourth proportional to 680.27, 939.63 and 503.48 is: 695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 939.63 = 503.48 : x
  2. Step 2: Convert to fraction form
    680.27/939.63 = 503.48/x
  3. Step 3: Cross multiply
    680.27x = 939.63 × 503.48
  4. Step 4: Simplify right side
    680.27x = 473,089.15
  5. Step 5: Solve for x
    x = 473,089.15/680.27
  6. Step 6: Final answer
    x = 695.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.