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Finding the Fourth Proportional to 1,503.22, 2,254.95 and 529.54

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Solution

The fourth proportional to 1,503.22, 2,254.95 and 529.54 is: 794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.22 : 2,254.95 = 529.54 : x
  2. Step 2: Convert to fraction form
    1,503.22/2,254.95 = 529.54/x
  3. Step 3: Cross multiply
    1,503.22x = 2,254.95 × 529.54
  4. Step 4: Simplify right side
    1,503.22x = 1,194,086.22
  5. Step 5: Solve for x
    x = 1,194,086.22/1,503.22
  6. Step 6: Final answer
    x = 794.35

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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.