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Finding the Fourth Proportional to 1,453.28, 2,004.90 and 893.57

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Solution

The fourth proportional to 1,453.28, 2,004.90 and 893.57 is: 1,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.28 : 2,004.90 = 893.57 : x
  2. Step 2: Convert to fraction form
    1,453.28/2,004.90 = 893.57/x
  3. Step 3: Cross multiply
    1,453.28x = 2,004.90 × 893.57
  4. Step 4: Simplify right side
    1,453.28x = 1,791,510.14
  5. Step 5: Solve for x
    x = 1,791,510.14/1,453.28
  6. Step 6: Final answer
    x = 1,232.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.