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Finding the Fourth Proportional to 788.06, 1,087.08 and 678.17

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Solution

The fourth proportional to 788.06, 1,087.08 and 678.17 is: 935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,087.08 = 678.17 : x
  2. Step 2: Convert to fraction form
    788.06/1,087.08 = 678.17/x
  3. Step 3: Cross multiply
    788.06x = 1,087.08 × 678.17
  4. Step 4: Simplify right side
    788.06x = 737,225.04
  5. Step 5: Solve for x
    x = 737,225.04/788.06
  6. Step 6: Final answer
    x = 935.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.