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Finding the Fourth Proportional to 1,735.59, 2,602.36 and 696.08

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Solution

The fourth proportional to 1,735.59, 2,602.36 and 696.08 is: 1,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.59 : 2,602.36 = 696.08 : x
  2. Step 2: Convert to fraction form
    1,735.59/2,602.36 = 696.08/x
  3. Step 3: Cross multiply
    1,735.59x = 2,602.36 × 696.08
  4. Step 4: Simplify right side
    1,735.59x = 1,811,453.00
  5. Step 5: Solve for x
    x = 1,811,453.00/1,735.59
  6. Step 6: Final answer
    x = 1,043.71

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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.