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Finding the Fourth Proportional to 522.86, 785.36 and 509.90

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Solution

The fourth proportional to 522.86, 785.36 and 509.90 is: 765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 785.36 = 509.90 : x
  2. Step 2: Convert to fraction form
    522.86/785.36 = 509.90/x
  3. Step 3: Cross multiply
    522.86x = 785.36 × 509.90
  4. Step 4: Simplify right side
    522.86x = 400,452.41
  5. Step 5: Solve for x
    x = 400,452.41/522.86
  6. Step 6: Final answer
    x = 765.90

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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.