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Finding the Fourth Proportional to 559.86, 834.16 and 528.42

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Solution

The fourth proportional to 559.86, 834.16 and 528.42 is: 787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 834.16 = 528.42 : x
  2. Step 2: Convert to fraction form
    559.86/834.16 = 528.42/x
  3. Step 3: Cross multiply
    559.86x = 834.16 × 528.42
  4. Step 4: Simplify right side
    559.86x = 440,790.89
  5. Step 5: Solve for x
    x = 440,790.89/559.86
  6. Step 6: Final answer
    x = 787.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.