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Finding the Fourth Proportional to 1,144.49, 1,714.35 and 949.04

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Solution

The fourth proportional to 1,144.49, 1,714.35 and 949.04 is: 1,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.49 : 1,714.35 = 949.04 : x
  2. Step 2: Convert to fraction form
    1,144.49/1,714.35 = 949.04/x
  3. Step 3: Cross multiply
    1,144.49x = 1,714.35 × 949.04
  4. Step 4: Simplify right side
    1,144.49x = 1,626,978.15
  5. Step 5: Solve for x
    x = 1,626,978.15/1,144.49
  6. Step 6: Final answer
    x = 1,421.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.