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Finding the Fourth Proportional to 548.88, 756.57 and 503.63

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Solution

The fourth proportional to 548.88, 756.57 and 503.63 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 756.57 = 503.63 : x
  2. Step 2: Convert to fraction form
    548.88/756.57 = 503.63/x
  3. Step 3: Cross multiply
    548.88x = 756.57 × 503.63
  4. Step 4: Simplify right side
    548.88x = 381,032.29
  5. Step 5: Solve for x
    x = 381,032.29/548.88
  6. Step 6: Final answer
    x = 694.20

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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.