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Finding the Fourth Proportional to 1,504.30, 2,255.01 and 529.75

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Solution

The fourth proportional to 1,504.30, 2,255.01 and 529.75 is: 794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.30 : 2,255.01 = 529.75 : x
  2. Step 2: Convert to fraction form
    1,504.30/2,255.01 = 529.75/x
  3. Step 3: Cross multiply
    1,504.30x = 2,255.01 × 529.75
  4. Step 4: Simplify right side
    1,504.30x = 1,194,591.55
  5. Step 5: Solve for x
    x = 1,194,591.55/1,504.30
  6. Step 6: Final answer
    x = 794.12

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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.