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Finding the Fourth Proportional to 1,117.14, 1,675.77 and 347.64

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Solution

The fourth proportional to 1,117.14, 1,675.77 and 347.64 is: 521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.14 : 1,675.77 = 347.64 : x
  2. Step 2: Convert to fraction form
    1,117.14/1,675.77 = 347.64/x
  3. Step 3: Cross multiply
    1,117.14x = 1,675.77 × 347.64
  4. Step 4: Simplify right side
    1,117.14x = 582,564.68
  5. Step 5: Solve for x
    x = 582,564.68/1,117.14
  6. Step 6: Final answer
    x = 521.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.