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Finding the Fourth Proportional to 1,083.09, 1,624.74 and 303.09

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Solution

The fourth proportional to 1,083.09, 1,624.74 and 303.09 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.09 : 1,624.74 = 303.09 : x
  2. Step 2: Convert to fraction form
    1,083.09/1,624.74 = 303.09/x
  3. Step 3: Cross multiply
    1,083.09x = 1,624.74 × 303.09
  4. Step 4: Simplify right side
    1,083.09x = 492,444.36
  5. Step 5: Solve for x
    x = 492,444.36/1,083.09
  6. Step 6: Final answer
    x = 454.67

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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.