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Finding the Fourth Proportional to 1,372.00, 1,893.35 and 742.52

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Solution

The fourth proportional to 1,372.00, 1,893.35 and 742.52 is: 1,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.00 : 1,893.35 = 742.52 : x
  2. Step 2: Convert to fraction form
    1,372.00/1,893.35 = 742.52/x
  3. Step 3: Cross multiply
    1,372.00x = 1,893.35 × 742.52
  4. Step 4: Simplify right side
    1,372.00x = 1,405,853.08
  5. Step 5: Solve for x
    x = 1,405,853.08/1,372.00
  6. Step 6: Final answer
    x = 1,024.67

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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.