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Finding the Fourth Proportional to 734.14, 1,013.14 and 419.45

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Solution

The fourth proportional to 734.14, 1,013.14 and 419.45 is: 578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.14 : 1,013.14 = 419.45 : x
  2. Step 2: Convert to fraction form
    734.14/1,013.14 = 419.45/x
  3. Step 3: Cross multiply
    734.14x = 1,013.14 × 419.45
  4. Step 4: Simplify right side
    734.14x = 424,961.57
  5. Step 5: Solve for x
    x = 424,961.57/734.14
  6. Step 6: Final answer
    x = 578.86

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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.