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Finding the Fourth Proportional to 734.54, 1,013.56 and 419.76

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Solution

The fourth proportional to 734.54, 1,013.56 and 419.76 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.54 : 1,013.56 = 419.76 : x
  2. Step 2: Convert to fraction form
    734.54/1,013.56 = 419.76/x
  3. Step 3: Cross multiply
    734.54x = 1,013.56 × 419.76
  4. Step 4: Simplify right side
    734.54x = 425,451.95
  5. Step 5: Solve for x
    x = 425,451.95/734.54
  6. Step 6: Final answer
    x = 579.21

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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.