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Finding the Fourth Proportional to 1,038.12, 1,555.38 and 793.92

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Solution

The fourth proportional to 1,038.12, 1,555.38 and 793.92 is: 1,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.12 : 1,555.38 = 793.92 : x
  2. Step 2: Convert to fraction form
    1,038.12/1,555.38 = 793.92/x
  3. Step 3: Cross multiply
    1,038.12x = 1,555.38 × 793.92
  4. Step 4: Simplify right side
    1,038.12x = 1,234,847.29
  5. Step 5: Solve for x
    x = 1,234,847.29/1,038.12
  6. Step 6: Final answer
    x = 1,189.50

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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.