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Finding the Fourth Proportional to 1,201.44, 1,802.64 and 624.72

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Solution

The fourth proportional to 1,201.44, 1,802.64 and 624.72 is: 937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,802.64 = 624.72 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,802.64 = 624.72/x
  3. Step 3: Cross multiply
    1,201.44x = 1,802.64 × 624.72
  4. Step 4: Simplify right side
    1,201.44x = 1,126,145.26
  5. Step 5: Solve for x
    x = 1,126,145.26/1,201.44
  6. Step 6: Final answer
    x = 937.33

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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.