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Finding the Fourth Proportional to 788.20, 1,182.51 and 775.15

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Solution

The fourth proportional to 788.20, 1,182.51 and 775.15 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.20 : 1,182.51 = 775.15 : x
  2. Step 2: Convert to fraction form
    788.20/1,182.51 = 775.15/x
  3. Step 3: Cross multiply
    788.20x = 1,182.51 × 775.15
  4. Step 4: Simplify right side
    788.20x = 916,622.63
  5. Step 5: Solve for x
    x = 916,622.63/788.20
  6. Step 6: Final answer
    x = 1,162.93

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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.