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Finding the Fourth Proportional to 1,037.52, 1,558.74 and 964.62

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Solution

The fourth proportional to 1,037.52, 1,558.74 and 964.62 is: 1,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.52 : 1,558.74 = 964.62 : x
  2. Step 2: Convert to fraction form
    1,037.52/1,558.74 = 964.62/x
  3. Step 3: Cross multiply
    1,037.52x = 1,558.74 × 964.62
  4. Step 4: Simplify right side
    1,037.52x = 1,503,591.78
  5. Step 5: Solve for x
    x = 1,503,591.78/1,037.52
  6. Step 6: Final answer
    x = 1,449.22

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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.