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Finding the Fourth Proportional to 1,233.94, 1,701.30 and 1,037.02

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Solution

The fourth proportional to 1,233.94, 1,701.30 and 1,037.02 is: 1,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.94 : 1,701.30 = 1,037.02 : x
  2. Step 2: Convert to fraction form
    1,233.94/1,701.30 = 1,037.02/x
  3. Step 3: Cross multiply
    1,233.94x = 1,701.30 × 1,037.02
  4. Step 4: Simplify right side
    1,233.94x = 1,764,282.13
  5. Step 5: Solve for x
    x = 1,764,282.13/1,233.94
  6. Step 6: Final answer
    x = 1,429.80

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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.