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Finding the Fourth Proportional to 1,118.94, 1,667.17 and 1,056.06

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Solution

The fourth proportional to 1,118.94, 1,667.17 and 1,056.06 is: 1,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.94 : 1,667.17 = 1,056.06 : x
  2. Step 2: Convert to fraction form
    1,118.94/1,667.17 = 1,056.06/x
  3. Step 3: Cross multiply
    1,118.94x = 1,667.17 × 1,056.06
  4. Step 4: Simplify right side
    1,118.94x = 1,760,630.44
  5. Step 5: Solve for x
    x = 1,760,630.44/1,118.94
  6. Step 6: Final answer
    x = 1,573.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.