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Finding the Fourth Proportional to 806.58, 1,208.40 and 459.48

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Solution

The fourth proportional to 806.58, 1,208.40 and 459.48 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.58 : 1,208.40 = 459.48 : x
  2. Step 2: Convert to fraction form
    806.58/1,208.40 = 459.48/x
  3. Step 3: Cross multiply
    806.58x = 1,208.40 × 459.48
  4. Step 4: Simplify right side
    806.58x = 555,235.63
  5. Step 5: Solve for x
    x = 555,235.63/806.58
  6. Step 6: Final answer
    x = 688.38

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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.