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Finding the Fourth Proportional to 1,170.92, 1,748.22 and 1,054.28

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Solution

The fourth proportional to 1,170.92, 1,748.22 and 1,054.28 is: 1,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.92 : 1,748.22 = 1,054.28 : x
  2. Step 2: Convert to fraction form
    1,170.92/1,748.22 = 1,054.28/x
  3. Step 3: Cross multiply
    1,170.92x = 1,748.22 × 1,054.28
  4. Step 4: Simplify right side
    1,170.92x = 1,843,104.64
  5. Step 5: Solve for x
    x = 1,843,104.64/1,170.92
  6. Step 6: Final answer
    x = 1,574.07

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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.