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Finding the Fourth Proportional to 1,144.33, 1,714.62 and 485.68

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Solution

The fourth proportional to 1,144.33, 1,714.62 and 485.68 is: 727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.33 : 1,714.62 = 485.68 : x
  2. Step 2: Convert to fraction form
    1,144.33/1,714.62 = 485.68/x
  3. Step 3: Cross multiply
    1,144.33x = 1,714.62 × 485.68
  4. Step 4: Simplify right side
    1,144.33x = 832,756.64
  5. Step 5: Solve for x
    x = 832,756.64/1,144.33
  6. Step 6: Final answer
    x = 727.72

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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.