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Finding the Fourth Proportional to 1,110.57, 1,654.31 and 1,054.41

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Solution

The fourth proportional to 1,110.57, 1,654.31 and 1,054.41 is: 1,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.57 : 1,654.31 = 1,054.41 : x
  2. Step 2: Convert to fraction form
    1,110.57/1,654.31 = 1,054.41/x
  3. Step 3: Cross multiply
    1,110.57x = 1,654.31 × 1,054.41
  4. Step 4: Simplify right side
    1,110.57x = 1,744,323.64
  5. Step 5: Solve for x
    x = 1,744,323.64/1,110.57
  6. Step 6: Final answer
    x = 1,570.66

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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.