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Finding the Fourth Proportional to 1,382.53, 2,072.93 and 457.85

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Solution

The fourth proportional to 1,382.53, 2,072.93 and 457.85 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.53 : 2,072.93 = 457.85 : x
  2. Step 2: Convert to fraction form
    1,382.53/2,072.93 = 457.85/x
  3. Step 3: Cross multiply
    1,382.53x = 2,072.93 × 457.85
  4. Step 4: Simplify right side
    1,382.53x = 949,080.64
  5. Step 5: Solve for x
    x = 949,080.64/1,382.53
  6. Step 6: Final answer
    x = 686.48

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Why These Related Problems?

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