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Finding the Fourth Proportional to 704.75, 972.83 and 630.95

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Solution

The fourth proportional to 704.75, 972.83 and 630.95 is: 870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 972.83 = 630.95 : x
  2. Step 2: Convert to fraction form
    704.75/972.83 = 630.95/x
  3. Step 3: Cross multiply
    704.75x = 972.83 × 630.95
  4. Step 4: Simplify right side
    704.75x = 613,799.07
  5. Step 5: Solve for x
    x = 613,799.07/704.75
  6. Step 6: Final answer
    x = 870.94

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