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Finding the Fourth Proportional to 798.88, 1,199.64 and 492.52

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Solution

The fourth proportional to 798.88, 1,199.64 and 492.52 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.88 : 1,199.64 = 492.52 : x
  2. Step 2: Convert to fraction form
    798.88/1,199.64 = 492.52/x
  3. Step 3: Cross multiply
    798.88x = 1,199.64 × 492.52
  4. Step 4: Simplify right side
    798.88x = 590,846.69
  5. Step 5: Solve for x
    x = 590,846.69/798.88
  6. Step 6: Final answer
    x = 739.59

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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.