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Finding the Fourth Proportional to 1,115.37, 1,541.03 and 928.26

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Solution

The fourth proportional to 1,115.37, 1,541.03 and 928.26 is: 1,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.37 : 1,541.03 = 928.26 : x
  2. Step 2: Convert to fraction form
    1,115.37/1,541.03 = 928.26/x
  3. Step 3: Cross multiply
    1,115.37x = 1,541.03 × 928.26
  4. Step 4: Simplify right side
    1,115.37x = 1,430,471.87
  5. Step 5: Solve for x
    x = 1,430,471.87/1,115.37
  6. Step 6: Final answer
    x = 1,282.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.