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Finding the Fourth Proportional to 1,167.36, 1,750.98 and 345.64

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Solution

The fourth proportional to 1,167.36, 1,750.98 and 345.64 is: 518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.36 : 1,750.98 = 345.64 : x
  2. Step 2: Convert to fraction form
    1,167.36/1,750.98 = 345.64/x
  3. Step 3: Cross multiply
    1,167.36x = 1,750.98 × 345.64
  4. Step 4: Simplify right side
    1,167.36x = 605,208.73
  5. Step 5: Solve for x
    x = 605,208.73/1,167.36
  6. Step 6: Final answer
    x = 518.44

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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.