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Finding the Fourth Proportional to 1,354.36, 2,031.72 and 624.64

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Solution

The fourth proportional to 1,354.36, 2,031.72 and 624.64 is: 937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.36 : 2,031.72 = 624.64 : x
  2. Step 2: Convert to fraction form
    1,354.36/2,031.72 = 624.64/x
  3. Step 3: Cross multiply
    1,354.36x = 2,031.72 × 624.64
  4. Step 4: Simplify right side
    1,354.36x = 1,269,093.58
  5. Step 5: Solve for x
    x = 1,269,093.58/1,354.36
  6. Step 6: Final answer
    x = 937.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.