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Finding the Fourth Proportional to 788.63, 1,182.14 and 378.06

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Solution

The fourth proportional to 788.63, 1,182.14 and 378.06 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.63 : 1,182.14 = 378.06 : x
  2. Step 2: Convert to fraction form
    788.63/1,182.14 = 378.06/x
  3. Step 3: Cross multiply
    788.63x = 1,182.14 × 378.06
  4. Step 4: Simplify right side
    788.63x = 446,914.94
  5. Step 5: Solve for x
    x = 446,914.94/788.63
  6. Step 6: Final answer
    x = 566.70

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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.