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Finding the Fourth Proportional to 730.98, 1,008.98 and 494.86

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Solution

The fourth proportional to 730.98, 1,008.98 and 494.86 is: 683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,008.98 = 494.86 : x
  2. Step 2: Convert to fraction form
    730.98/1,008.98 = 494.86/x
  3. Step 3: Cross multiply
    730.98x = 1,008.98 × 494.86
  4. Step 4: Simplify right side
    730.98x = 499,303.84
  5. Step 5: Solve for x
    x = 499,303.84/730.98
  6. Step 6: Final answer
    x = 683.06

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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.