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Finding the Fourth Proportional to 1,027.93, 1,537.32 and 913.12

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Solution

The fourth proportional to 1,027.93, 1,537.32 and 913.12 is: 1,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.93 : 1,537.32 = 913.12 : x
  2. Step 2: Convert to fraction form
    1,027.93/1,537.32 = 913.12/x
  3. Step 3: Cross multiply
    1,027.93x = 1,537.32 × 913.12
  4. Step 4: Simplify right side
    1,027.93x = 1,403,757.64
  5. Step 5: Solve for x
    x = 1,403,757.64/1,027.93
  6. Step 6: Final answer
    x = 1,365.62

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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.