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Finding the Fourth Proportional to 1,203.84, 1,805.36 and 473.22

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Solution

The fourth proportional to 1,203.84, 1,805.36 and 473.22 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.84 : 1,805.36 = 473.22 : x
  2. Step 2: Convert to fraction form
    1,203.84/1,805.36 = 473.22/x
  3. Step 3: Cross multiply
    1,203.84x = 1,805.36 × 473.22
  4. Step 4: Simplify right side
    1,203.84x = 854,330.09
  5. Step 5: Solve for x
    x = 854,330.09/1,203.84
  6. Step 6: Final answer
    x = 709.67

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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.