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Finding the Fourth Proportional to 1,352.50, 2,028.85 and 583

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Solution

The fourth proportional to 1,352.50, 2,028.85 and 583 is: 874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.50 : 2,028.85 = 583 : x
  2. Step 2: Convert to fraction form
    1,352.50/2,028.85 = 583/x
  3. Step 3: Cross multiply
    1,352.50x = 2,028.85 × 583
  4. Step 4: Simplify right side
    1,352.50x = 1,182,819.55
  5. Step 5: Solve for x
    x = 1,182,819.55/1,352.50
  6. Step 6: Final answer
    x = 874.54

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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.