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Finding the Fourth Proportional to 1,305.20, 1,957.49 and 380.51

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Solution

The fourth proportional to 1,305.20, 1,957.49 and 380.51 is: 570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.20 : 1,957.49 = 380.51 : x
  2. Step 2: Convert to fraction form
    1,305.20/1,957.49 = 380.51/x
  3. Step 3: Cross multiply
    1,305.20x = 1,957.49 × 380.51
  4. Step 4: Simplify right side
    1,305.20x = 744,832.83
  5. Step 5: Solve for x
    x = 744,832.83/1,305.20
  6. Step 6: Final answer
    x = 570.67

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Why These Related Problems?

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