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Finding the Fourth Proportional to 1,735.50, 2,602.44 and 580.44

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Solution

The fourth proportional to 1,735.50, 2,602.44 and 580.44 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.50 : 2,602.44 = 580.44 : x
  2. Step 2: Convert to fraction form
    1,735.50/2,602.44 = 580.44/x
  3. Step 3: Cross multiply
    1,735.50x = 2,602.44 × 580.44
  4. Step 4: Simplify right side
    1,735.50x = 1,510,560.27
  5. Step 5: Solve for x
    x = 1,510,560.27/1,735.50
  6. Step 6: Final answer
    x = 870.39

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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.