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Finding the Fourth Proportional to 1,142.46, 1,573.90 and 941.99

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Solution

The fourth proportional to 1,142.46, 1,573.90 and 941.99 is: 1,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.46 : 1,573.90 = 941.99 : x
  2. Step 2: Convert to fraction form
    1,142.46/1,573.90 = 941.99/x
  3. Step 3: Cross multiply
    1,142.46x = 1,573.90 × 941.99
  4. Step 4: Simplify right side
    1,142.46x = 1,482,587.84
  5. Step 5: Solve for x
    x = 1,482,587.84/1,142.46
  6. Step 6: Final answer
    x = 1,297.72

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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.