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Finding the Fourth Proportional to 788.94, 1,177.74 and 626.40

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Solution

The fourth proportional to 788.94, 1,177.74 and 626.40 is: 935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,177.74 = 626.40 : x
  2. Step 2: Convert to fraction form
    788.94/1,177.74 = 626.40/x
  3. Step 3: Cross multiply
    788.94x = 1,177.74 × 626.40
  4. Step 4: Simplify right side
    788.94x = 737,736.34
  5. Step 5: Solve for x
    x = 737,736.34/788.94
  6. Step 6: Final answer
    x = 935.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.