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Finding the Fourth Proportional to 1,832.42, 2,748.64 and 599.88

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Solution

The fourth proportional to 1,832.42, 2,748.64 and 599.88 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.42 : 2,748.64 = 599.88 : x
  2. Step 2: Convert to fraction form
    1,832.42/2,748.64 = 599.88/x
  3. Step 3: Cross multiply
    1,832.42x = 2,748.64 × 599.88
  4. Step 4: Simplify right side
    1,832.42x = 1,648,854.16
  5. Step 5: Solve for x
    x = 1,648,854.16/1,832.42
  6. Step 6: Final answer
    x = 899.82

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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.