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Finding the Fourth Proportional to 582.96, 874.35 and 550.83

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Solution

The fourth proportional to 582.96, 874.35 and 550.83 is: 826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 874.35 = 550.83 : x
  2. Step 2: Convert to fraction form
    582.96/874.35 = 550.83/x
  3. Step 3: Cross multiply
    582.96x = 874.35 × 550.83
  4. Step 4: Simplify right side
    582.96x = 481,618.21
  5. Step 5: Solve for x
    x = 481,618.21/582.96
  6. Step 6: Final answer
    x = 826.16

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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.