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Finding the Fourth Proportional to 734.48, 1,013.46 and 419.72

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Solution

The fourth proportional to 734.48, 1,013.46 and 419.72 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.48 : 1,013.46 = 419.72 : x
  2. Step 2: Convert to fraction form
    734.48/1,013.46 = 419.72/x
  3. Step 3: Cross multiply
    734.48x = 1,013.46 × 419.72
  4. Step 4: Simplify right side
    734.48x = 425,369.43
  5. Step 5: Solve for x
    x = 425,369.43/734.48
  6. Step 6: Final answer
    x = 579.14

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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.