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Finding the Fourth Proportional to 749.34, 1,034.13 and 413.26

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Solution

The fourth proportional to 749.34, 1,034.13 and 413.26 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,034.13 = 413.26 : x
  2. Step 2: Convert to fraction form
    749.34/1,034.13 = 413.26/x
  3. Step 3: Cross multiply
    749.34x = 1,034.13 × 413.26
  4. Step 4: Simplify right side
    749.34x = 427,364.56
  5. Step 5: Solve for x
    x = 427,364.56/749.34
  6. Step 6: Final answer
    x = 570.32

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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.