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Finding the Fourth Proportional to 704.98, 1,061.70 and 642.70

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Solution

The fourth proportional to 704.98, 1,061.70 and 642.70 is: 967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.98 : 1,061.70 = 642.70 : x
  2. Step 2: Convert to fraction form
    704.98/1,061.70 = 642.70/x
  3. Step 3: Cross multiply
    704.98x = 1,061.70 × 642.70
  4. Step 4: Simplify right side
    704.98x = 682,354.59
  5. Step 5: Solve for x
    x = 682,354.59/704.98
  6. Step 6: Final answer
    x = 967.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.