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Finding the Fourth Proportional to 772.41, 1,157.79 and 522.25

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Solution

The fourth proportional to 772.41, 1,157.79 and 522.25 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,157.79 = 522.25 : x
  2. Step 2: Convert to fraction form
    772.41/1,157.79 = 522.25/x
  3. Step 3: Cross multiply
    772.41x = 1,157.79 × 522.25
  4. Step 4: Simplify right side
    772.41x = 604,655.83
  5. Step 5: Solve for x
    x = 604,655.83/772.41
  6. Step 6: Final answer
    x = 782.82

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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.