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Finding the Fourth Proportional to 953.02, 1,427.90 and 520.48

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Solution

The fourth proportional to 953.02, 1,427.90 and 520.48 is: 779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,427.90 = 520.48 : x
  2. Step 2: Convert to fraction form
    953.02/1,427.90 = 520.48/x
  3. Step 3: Cross multiply
    953.02x = 1,427.90 × 520.48
  4. Step 4: Simplify right side
    953.02x = 743,193.39
  5. Step 5: Solve for x
    x = 743,193.39/953.02
  6. Step 6: Final answer
    x = 779.83

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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.