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Finding the Fourth Proportional to 595.95, 894.22 and 550.84

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Solution

The fourth proportional to 595.95, 894.22 and 550.84 is: 826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 894.22 = 550.84 : x
  2. Step 2: Convert to fraction form
    595.95/894.22 = 550.84/x
  3. Step 3: Cross multiply
    595.95x = 894.22 × 550.84
  4. Step 4: Simplify right side
    595.95x = 492,572.14
  5. Step 5: Solve for x
    x = 492,572.14/595.95
  6. Step 6: Final answer
    x = 826.53

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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.