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Finding the Fourth Proportional to 599.90, 828 and 558.86

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Solution

The fourth proportional to 599.90, 828 and 558.86 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 828 = 558.86 : x
  2. Step 2: Convert to fraction form
    599.90/828 = 558.86/x
  3. Step 3: Cross multiply
    599.90x = 828 × 558.86
  4. Step 4: Simplify right side
    599.90x = 462,731.94
  5. Step 5: Solve for x
    x = 462,731.94/599.90
  6. Step 6: Final answer
    x = 771.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.