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Finding the Fourth Proportional to 734.08, 1,100.40 and 624.64

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Solution

The fourth proportional to 734.08, 1,100.40 and 624.64 is: 936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.08 : 1,100.40 = 624.64 : x
  2. Step 2: Convert to fraction form
    734.08/1,100.40 = 624.64/x
  3. Step 3: Cross multiply
    734.08x = 1,100.40 × 624.64
  4. Step 4: Simplify right side
    734.08x = 687,353.86
  5. Step 5: Solve for x
    x = 687,353.86/734.08
  6. Step 6: Final answer
    x = 936.35

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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.