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Finding the Fourth Proportional to 625.51, 936.64 and 522.24

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Solution

The fourth proportional to 625.51, 936.64 and 522.24 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.51 : 936.64 = 522.24 : x
  2. Step 2: Convert to fraction form
    625.51/936.64 = 522.24/x
  3. Step 3: Cross multiply
    625.51x = 936.64 × 522.24
  4. Step 4: Simplify right side
    625.51x = 489,150.87
  5. Step 5: Solve for x
    x = 489,150.87/625.51
  6. Step 6: Final answer
    x = 782.00

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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.