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Finding the Fourth Proportional to 1,503.89, 2,255.23 and 529.76

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Solution

The fourth proportional to 1,503.89, 2,255.23 and 529.76 is: 794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.89 : 2,255.23 = 529.76 : x
  2. Step 2: Convert to fraction form
    1,503.89/2,255.23 = 529.76/x
  3. Step 3: Cross multiply
    1,503.89x = 2,255.23 × 529.76
  4. Step 4: Simplify right side
    1,503.89x = 1,194,728.00
  5. Step 5: Solve for x
    x = 1,194,728.00/1,503.89
  6. Step 6: Final answer
    x = 794.43

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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.