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Finding the Fourth Proportional to 698.51, 970.63 and 690.92

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Solution

The fourth proportional to 698.51, 970.63 and 690.92 is: 960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.51 : 970.63 = 690.92 : x
  2. Step 2: Convert to fraction form
    698.51/970.63 = 690.92/x
  3. Step 3: Cross multiply
    698.51x = 970.63 × 690.92
  4. Step 4: Simplify right side
    698.51x = 670,627.68
  5. Step 5: Solve for x
    x = 670,627.68/698.51
  6. Step 6: Final answer
    x = 960.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.