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Finding the Fourth Proportional to 1,037.46, 1,563.96 and 968.71

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Solution

The fourth proportional to 1,037.46, 1,563.96 and 968.71 is: 1,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.46 : 1,563.96 = 968.71 : x
  2. Step 2: Convert to fraction form
    1,037.46/1,563.96 = 968.71/x
  3. Step 3: Cross multiply
    1,037.46x = 1,563.96 × 968.71
  4. Step 4: Simplify right side
    1,037.46x = 1,515,023.69
  5. Step 5: Solve for x
    x = 1,515,023.69/1,037.46
  6. Step 6: Final answer
    x = 1,460.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.