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Finding the Fourth Proportional to 941.10, 1,297.53 and 691.62

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Solution

The fourth proportional to 941.10, 1,297.53 and 691.62 is: 953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.10 : 1,297.53 = 691.62 : x
  2. Step 2: Convert to fraction form
    941.10/1,297.53 = 691.62/x
  3. Step 3: Cross multiply
    941.10x = 1,297.53 × 691.62
  4. Step 4: Simplify right side
    941.10x = 897,397.70
  5. Step 5: Solve for x
    x = 897,397.70/941.10
  6. Step 6: Final answer
    x = 953.56

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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.