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Finding the Fourth Proportional to 788.97, 1,183.46 and 464.16

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Solution

The fourth proportional to 788.97, 1,183.46 and 464.16 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.97 : 1,183.46 = 464.16 : x
  2. Step 2: Convert to fraction form
    788.97/1,183.46 = 464.16/x
  3. Step 3: Cross multiply
    788.97x = 1,183.46 × 464.16
  4. Step 4: Simplify right side
    788.97x = 549,314.79
  5. Step 5: Solve for x
    x = 549,314.79/788.97
  6. Step 6: Final answer
    x = 696.24

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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.