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Finding the Fourth Proportional to 1,094.26, 1,630.08 and 1,027.03

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Solution

The fourth proportional to 1,094.26, 1,630.08 and 1,027.03 is: 1,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.26 : 1,630.08 = 1,027.03 : x
  2. Step 2: Convert to fraction form
    1,094.26/1,630.08 = 1,027.03/x
  3. Step 3: Cross multiply
    1,094.26x = 1,630.08 × 1,027.03
  4. Step 4: Simplify right side
    1,094.26x = 1,674,132.91
  5. Step 5: Solve for x
    x = 1,674,132.91/1,094.26
  6. Step 6: Final answer
    x = 1,529.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.