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Finding the Fourth Proportional to 1,014.90, 1,522.98 and 528.30

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Solution

The fourth proportional to 1,014.90, 1,522.98 and 528.30 is: 792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.90 : 1,522.98 = 528.30 : x
  2. Step 2: Convert to fraction form
    1,014.90/1,522.98 = 528.30/x
  3. Step 3: Cross multiply
    1,014.90x = 1,522.98 × 528.30
  4. Step 4: Simplify right side
    1,014.90x = 804,590.33
  5. Step 5: Solve for x
    x = 804,590.33/1,014.90
  6. Step 6: Final answer
    x = 792.78

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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.