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Finding the Fourth Proportional to 742.08, 1,022.04 and 696.72

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Solution

The fourth proportional to 742.08, 1,022.04 and 696.72 is: 959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.08 : 1,022.04 = 696.72 : x
  2. Step 2: Convert to fraction form
    742.08/1,022.04 = 696.72/x
  3. Step 3: Cross multiply
    742.08x = 1,022.04 × 696.72
  4. Step 4: Simplify right side
    742.08x = 712,075.71
  5. Step 5: Solve for x
    x = 712,075.71/742.08
  6. Step 6: Final answer
    x = 959.57

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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.