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Finding the Fourth Proportional to 788.48, 1,180.80 and 764

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Solution

The fourth proportional to 788.48, 1,180.80 and 764 is: 1,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,180.80 = 764 : x
  2. Step 2: Convert to fraction form
    788.48/1,180.80 = 764/x
  3. Step 3: Cross multiply
    788.48x = 1,180.80 × 764
  4. Step 4: Simplify right side
    788.48x = 902,131.20
  5. Step 5: Solve for x
    x = 902,131.20/788.48
  6. Step 6: Final answer
    x = 1,144.14

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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.