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Finding the Fourth Proportional to 1,263.47, 1,895.21 and 788.69

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Solution

The fourth proportional to 1,263.47, 1,895.21 and 788.69 is: 1,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.47 : 1,895.21 = 788.69 : x
  2. Step 2: Convert to fraction form
    1,263.47/1,895.21 = 788.69/x
  3. Step 3: Cross multiply
    1,263.47x = 1,895.21 × 788.69
  4. Step 4: Simplify right side
    1,263.47x = 1,494,733.17
  5. Step 5: Solve for x
    x = 1,494,733.17/1,263.47
  6. Step 6: Final answer
    x = 1,183.04

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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.