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Finding the Fourth Proportional to 1,415.88, 1,954.85 and 885.56

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Solution

The fourth proportional to 1,415.88, 1,954.85 and 885.56 is: 1,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.88 : 1,954.85 = 885.56 : x
  2. Step 2: Convert to fraction form
    1,415.88/1,954.85 = 885.56/x
  3. Step 3: Cross multiply
    1,415.88x = 1,954.85 × 885.56
  4. Step 4: Simplify right side
    1,415.88x = 1,731,136.97
  5. Step 5: Solve for x
    x = 1,731,136.97/1,415.88
  6. Step 6: Final answer
    x = 1,222.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.