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Finding the Fourth Proportional to 874.95, 1,314.29 and 550.54

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Solution

The fourth proportional to 874.95, 1,314.29 and 550.54 is: 826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.95 : 1,314.29 = 550.54 : x
  2. Step 2: Convert to fraction form
    874.95/1,314.29 = 550.54/x
  3. Step 3: Cross multiply
    874.95x = 1,314.29 × 550.54
  4. Step 4: Simplify right side
    874.95x = 723,569.22
  5. Step 5: Solve for x
    x = 723,569.22/874.95
  6. Step 6: Final answer
    x = 826.98

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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.