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Finding the Fourth Proportional to 1,014.96, 1,522.49 and 527.75

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Solution

The fourth proportional to 1,014.96, 1,522.49 and 527.75 is: 791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.96 : 1,522.49 = 527.75 : x
  2. Step 2: Convert to fraction form
    1,014.96/1,522.49 = 527.75/x
  3. Step 3: Cross multiply
    1,014.96x = 1,522.49 × 527.75
  4. Step 4: Simplify right side
    1,014.96x = 803,483.85
  5. Step 5: Solve for x
    x = 803,483.85/1,014.96
  6. Step 6: Final answer
    x = 791.64

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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.