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Finding the Fourth Proportional to 1,445.76, 2,168.86 and 624.05

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Solution

The fourth proportional to 1,445.76, 2,168.86 and 624.05 is: 936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.76 : 2,168.86 = 624.05 : x
  2. Step 2: Convert to fraction form
    1,445.76/2,168.86 = 624.05/x
  3. Step 3: Cross multiply
    1,445.76x = 2,168.86 × 624.05
  4. Step 4: Simplify right side
    1,445.76x = 1,353,464.68
  5. Step 5: Solve for x
    x = 1,353,464.68/1,445.76
  6. Step 6: Final answer
    x = 936.16

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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.