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Finding the Fourth Proportional to 522.26, 782.49 and 503.30

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Solution

The fourth proportional to 522.26, 782.49 and 503.30 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.26 : 782.49 = 503.30 : x
  2. Step 2: Convert to fraction form
    522.26/782.49 = 503.30/x
  3. Step 3: Cross multiply
    522.26x = 782.49 × 503.30
  4. Step 4: Simplify right side
    522.26x = 393,827.22
  5. Step 5: Solve for x
    x = 393,827.22/522.26
  6. Step 6: Final answer
    x = 754.08

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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.