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Finding the Fourth Proportional to 734.58, 1,013.69 and 419.83

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Solution

The fourth proportional to 734.58, 1,013.69 and 419.83 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.58 : 1,013.69 = 419.83 : x
  2. Step 2: Convert to fraction form
    734.58/1,013.69 = 419.83/x
  3. Step 3: Cross multiply
    734.58x = 1,013.69 × 419.83
  4. Step 4: Simplify right side
    734.58x = 425,575.99
  5. Step 5: Solve for x
    x = 425,575.99/734.58
  6. Step 6: Final answer
    x = 579.35

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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.