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Finding the Fourth Proportional to 743.37, 1,114.44 and 580.56

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Solution

The fourth proportional to 743.37, 1,114.44 and 580.56 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.37 : 1,114.44 = 580.56 : x
  2. Step 2: Convert to fraction form
    743.37/1,114.44 = 580.56/x
  3. Step 3: Cross multiply
    743.37x = 1,114.44 × 580.56
  4. Step 4: Simplify right side
    743.37x = 646,999.29
  5. Step 5: Solve for x
    x = 646,999.29/743.37
  6. Step 6: Final answer
    x = 870.36

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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.