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Finding the Fourth Proportional to 1,370.72, 2,056.08 and 446.36

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Solution

The fourth proportional to 1,370.72, 2,056.08 and 446.36 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.72 : 2,056.08 = 446.36 : x
  2. Step 2: Convert to fraction form
    1,370.72/2,056.08 = 446.36/x
  3. Step 3: Cross multiply
    1,370.72x = 2,056.08 × 446.36
  4. Step 4: Simplify right side
    1,370.72x = 917,751.87
  5. Step 5: Solve for x
    x = 917,751.87/1,370.72
  6. Step 6: Final answer
    x = 669.54

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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.