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Finding the Fourth Proportional to 1,439.91, 2,155.50 and 788.67

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Solution

The fourth proportional to 1,439.91, 2,155.50 and 788.67 is: 1,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.91 : 2,155.50 = 788.67 : x
  2. Step 2: Convert to fraction form
    1,439.91/2,155.50 = 788.67/x
  3. Step 3: Cross multiply
    1,439.91x = 2,155.50 × 788.67
  4. Step 4: Simplify right side
    1,439.91x = 1,699,978.19
  5. Step 5: Solve for x
    x = 1,699,978.19/1,439.91
  6. Step 6: Final answer
    x = 1,180.61

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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.