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Finding the Fourth Proportional to 701.90, 1,050.77 and 520.11

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Solution

The fourth proportional to 701.90, 1,050.77 and 520.11 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.90 : 1,050.77 = 520.11 : x
  2. Step 2: Convert to fraction form
    701.90/1,050.77 = 520.11/x
  3. Step 3: Cross multiply
    701.90x = 1,050.77 × 520.11
  4. Step 4: Simplify right side
    701.90x = 546,515.98
  5. Step 5: Solve for x
    x = 546,515.98/701.90
  6. Step 6: Final answer
    x = 778.62

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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.