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Finding the Fourth Proportional to 1,370.37, 2,055.78 and 446.16

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Solution

The fourth proportional to 1,370.37, 2,055.78 and 446.16 is: 669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.37 : 2,055.78 = 446.16 : x
  2. Step 2: Convert to fraction form
    1,370.37/2,055.78 = 446.16/x
  3. Step 3: Cross multiply
    1,370.37x = 2,055.78 × 446.16
  4. Step 4: Simplify right side
    1,370.37x = 917,206.80
  5. Step 5: Solve for x
    x = 917,206.80/1,370.37
  6. Step 6: Final answer
    x = 669.31

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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.