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Finding the Fourth Proportional to 734.20, 1,013.22 and 419.35

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Solution

The fourth proportional to 734.20, 1,013.22 and 419.35 is: 578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.20 : 1,013.22 = 419.35 : x
  2. Step 2: Convert to fraction form
    734.20/1,013.22 = 419.35/x
  3. Step 3: Cross multiply
    734.20x = 1,013.22 × 419.35
  4. Step 4: Simplify right side
    734.20x = 424,893.81
  5. Step 5: Solve for x
    x = 424,893.81/734.20
  6. Step 6: Final answer
    x = 578.72

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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.