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Finding the Fourth Proportional to 734.82, 1,013.94 and 415.77

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Solution

The fourth proportional to 734.82, 1,013.94 and 415.77 is: 573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.82 : 1,013.94 = 415.77 : x
  2. Step 2: Convert to fraction form
    734.82/1,013.94 = 415.77/x
  3. Step 3: Cross multiply
    734.82x = 1,013.94 × 415.77
  4. Step 4: Simplify right side
    734.82x = 421,565.83
  5. Step 5: Solve for x
    x = 421,565.83/734.82
  6. Step 6: Final answer
    x = 573.70

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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.