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Finding the Fourth Proportional to 1,194.60, 1,788.50 and 782.84

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Solution

The fourth proportional to 1,194.60, 1,788.50 and 782.84 is: 1,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.60 : 1,788.50 = 782.84 : x
  2. Step 2: Convert to fraction form
    1,194.60/1,788.50 = 782.84/x
  3. Step 3: Cross multiply
    1,194.60x = 1,788.50 × 782.84
  4. Step 4: Simplify right side
    1,194.60x = 1,400,109.34
  5. Step 5: Solve for x
    x = 1,400,109.34/1,194.60
  6. Step 6: Final answer
    x = 1,172.03

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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.