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Finding the Fourth Proportional to 788.57, 1,182.59 and 418.16

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Solution

The fourth proportional to 788.57, 1,182.59 and 418.16 is: 627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.57 : 1,182.59 = 418.16 : x
  2. Step 2: Convert to fraction form
    788.57/1,182.59 = 418.16/x
  3. Step 3: Cross multiply
    788.57x = 1,182.59 × 418.16
  4. Step 4: Simplify right side
    788.57x = 494,509.97
  5. Step 5: Solve for x
    x = 494,509.97/788.57
  6. Step 6: Final answer
    x = 627.10

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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.