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Finding the Fourth Proportional to 1,503.10, 2,252.89 and 528.67

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Solution

The fourth proportional to 1,503.10, 2,252.89 and 528.67 is: 792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.10 : 2,252.89 = 528.67 : x
  2. Step 2: Convert to fraction form
    1,503.10/2,252.89 = 528.67/x
  3. Step 3: Cross multiply
    1,503.10x = 2,252.89 × 528.67
  4. Step 4: Simplify right side
    1,503.10x = 1,191,035.36
  5. Step 5: Solve for x
    x = 1,191,035.36/1,503.10
  6. Step 6: Final answer
    x = 792.39

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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.