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Finding the Fourth Proportional to 1,003.68, 1,384.52 and 605.08

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Solution

The fourth proportional to 1,003.68, 1,384.52 and 605.08 is: 834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.68 : 1,384.52 = 605.08 : x
  2. Step 2: Convert to fraction form
    1,003.68/1,384.52 = 605.08/x
  3. Step 3: Cross multiply
    1,003.68x = 1,384.52 × 605.08
  4. Step 4: Simplify right side
    1,003.68x = 837,745.36
  5. Step 5: Solve for x
    x = 837,745.36/1,003.68
  6. Step 6: Final answer
    x = 834.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.