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Finding the Fourth Proportional to 1,027.56, 1,538.82 and 853.14

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Solution

The fourth proportional to 1,027.56, 1,538.82 and 853.14 is: 1,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,538.82 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,538.82 = 853.14/x
  3. Step 3: Cross multiply
    1,027.56x = 1,538.82 × 853.14
  4. Step 4: Simplify right side
    1,027.56x = 1,312,828.89
  5. Step 5: Solve for x
    x = 1,312,828.89/1,027.56
  6. Step 6: Final answer
    x = 1,277.62

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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.