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Finding the Fourth Proportional to 1,078, 1,617.08 and 347.60

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Solution

The fourth proportional to 1,078, 1,617.08 and 347.60 is: 521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078 : 1,617.08 = 347.60 : x
  2. Step 2: Convert to fraction form
    1,078/1,617.08 = 347.60/x
  3. Step 3: Cross multiply
    1,078x = 1,617.08 × 347.60
  4. Step 4: Simplify right side
    1,078x = 562,097.01
  5. Step 5: Solve for x
    x = 562,097.01/1,078
  6. Step 6: Final answer
    x = 521.43

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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.