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Finding the Fourth Proportional to 1,047.14, 1,454.74 and 1,037.63

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Solution

The fourth proportional to 1,047.14, 1,454.74 and 1,037.63 is: 1,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,454.74 = 1,037.63 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,454.74 = 1,037.63/x
  3. Step 3: Cross multiply
    1,047.14x = 1,454.74 × 1,037.63
  4. Step 4: Simplify right side
    1,047.14x = 1,509,481.87
  5. Step 5: Solve for x
    x = 1,509,481.87/1,047.14
  6. Step 6: Final answer
    x = 1,441.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.