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Finding the Fourth Proportional to 1,575.63, 2,363.22 and 535.67

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Solution

The fourth proportional to 1,575.63, 2,363.22 and 535.67 is: 803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.63 : 2,363.22 = 535.67 : x
  2. Step 2: Convert to fraction form
    1,575.63/2,363.22 = 535.67/x
  3. Step 3: Cross multiply
    1,575.63x = 2,363.22 × 535.67
  4. Step 4: Simplify right side
    1,575.63x = 1,265,903.10
  5. Step 5: Solve for x
    x = 1,265,903.10/1,575.63
  6. Step 6: Final answer
    x = 803.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.