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Finding the Fourth Proportional to 734.37, 1,013.46 and 419.64

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Solution

The fourth proportional to 734.37, 1,013.46 and 419.64 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.37 : 1,013.46 = 419.64 : x
  2. Step 2: Convert to fraction form
    734.37/1,013.46 = 419.64/x
  3. Step 3: Cross multiply
    734.37x = 1,013.46 × 419.64
  4. Step 4: Simplify right side
    734.37x = 425,288.35
  5. Step 5: Solve for x
    x = 425,288.35/734.37
  6. Step 6: Final answer
    x = 579.12

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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.