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Finding the Fourth Proportional to 1,415.45, 2,124.43 and 685.58

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Solution

The fourth proportional to 1,415.45, 2,124.43 and 685.58 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.45 : 2,124.43 = 685.58 : x
  2. Step 2: Convert to fraction form
    1,415.45/2,124.43 = 685.58/x
  3. Step 3: Cross multiply
    1,415.45x = 2,124.43 × 685.58
  4. Step 4: Simplify right side
    1,415.45x = 1,456,454.38
  5. Step 5: Solve for x
    x = 1,456,454.38/1,415.45
  6. Step 6: Final answer
    x = 1,028.97

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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.