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Finding the Fourth Proportional to 651.88, 899.56 and 599.64

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Solution

The fourth proportional to 651.88, 899.56 and 599.64 is: 827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 899.56 = 599.64 : x
  2. Step 2: Convert to fraction form
    651.88/899.56 = 599.64/x
  3. Step 3: Cross multiply
    651.88x = 899.56 × 599.64
  4. Step 4: Simplify right side
    651.88x = 539,406.16
  5. Step 5: Solve for x
    x = 539,406.16/651.88
  6. Step 6: Final answer
    x = 827.46

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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.