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Finding the Fourth Proportional to 1,097.92, 1,655.20 and 1,027.45

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Solution

The fourth proportional to 1,097.92, 1,655.20 and 1,027.45 is: 1,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.92 : 1,655.20 = 1,027.45 : x
  2. Step 2: Convert to fraction form
    1,097.92/1,655.20 = 1,027.45/x
  3. Step 3: Cross multiply
    1,097.92x = 1,655.20 × 1,027.45
  4. Step 4: Simplify right side
    1,097.92x = 1,700,638.59
  5. Step 5: Solve for x
    x = 1,700,638.59/1,097.92
  6. Step 6: Final answer
    x = 1,548.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.