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Finding the Fourth Proportional to 1,503.36, 2,254.97 and 529.38

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Solution

The fourth proportional to 1,503.36, 2,254.97 and 529.38 is: 794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.36 : 2,254.97 = 529.38 : x
  2. Step 2: Convert to fraction form
    1,503.36/2,254.97 = 529.38/x
  3. Step 3: Cross multiply
    1,503.36x = 2,254.97 × 529.38
  4. Step 4: Simplify right side
    1,503.36x = 1,193,733.37
  5. Step 5: Solve for x
    x = 1,193,733.37/1,503.36
  6. Step 6: Final answer
    x = 794.04

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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.