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Finding the Fourth Proportional to 1,078.50, 1,617.62 and 493.33

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Solution

The fourth proportional to 1,078.50, 1,617.62 and 493.33 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,617.62 = 493.33 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,617.62 = 493.33/x
  3. Step 3: Cross multiply
    1,078.50x = 1,617.62 × 493.33
  4. Step 4: Simplify right side
    1,078.50x = 798,018.01
  5. Step 5: Solve for x
    x = 798,018.01/1,078.50
  6. Step 6: Final answer
    x = 739.93

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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.