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Finding the Fourth Proportional to 734.70, 1,013.91 and 419.85

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Solution

The fourth proportional to 734.70, 1,013.91 and 419.85 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,013.91 = 419.85 : x
  2. Step 2: Convert to fraction form
    734.70/1,013.91 = 419.85/x
  3. Step 3: Cross multiply
    734.70x = 1,013.91 × 419.85
  4. Step 4: Simplify right side
    734.70x = 425,690.11
  5. Step 5: Solve for x
    x = 425,690.11/734.70
  6. Step 6: Final answer
    x = 579.41

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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.