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Finding the Fourth Proportional to 1,027.56, 1,543.08 and 671.96

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Solution

The fourth proportional to 1,027.56, 1,543.08 and 671.96 is: 1,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,543.08 = 671.96 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,543.08 = 671.96/x
  3. Step 3: Cross multiply
    1,027.56x = 1,543.08 × 671.96
  4. Step 4: Simplify right side
    1,027.56x = 1,036,893.97
  5. Step 5: Solve for x
    x = 1,036,893.97/1,027.56
  6. Step 6: Final answer
    x = 1,009.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.