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Finding the Fourth Proportional to 1,371.16, 2,056.78 and 446.83

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Solution

The fourth proportional to 1,371.16, 2,056.78 and 446.83 is: 670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.16 : 2,056.78 = 446.83 : x
  2. Step 2: Convert to fraction form
    1,371.16/2,056.78 = 446.83/x
  3. Step 3: Cross multiply
    1,371.16x = 2,056.78 × 446.83
  4. Step 4: Simplify right side
    1,371.16x = 919,026.42
  5. Step 5: Solve for x
    x = 919,026.42/1,371.16
  6. Step 6: Final answer
    x = 670.25

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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.