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Finding the Fourth Proportional to 1,352.76, 2,029.14 and 583.26

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Solution

The fourth proportional to 1,352.76, 2,029.14 and 583.26 is: 874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.76 : 2,029.14 = 583.26 : x
  2. Step 2: Convert to fraction form
    1,352.76/2,029.14 = 583.26/x
  3. Step 3: Cross multiply
    1,352.76x = 2,029.14 × 583.26
  4. Step 4: Simplify right side
    1,352.76x = 1,183,516.20
  5. Step 5: Solve for x
    x = 1,183,516.20/1,352.76
  6. Step 6: Final answer
    x = 874.89

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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.