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Finding the Fourth Proportional to 744.74, 1,027.70 and 413.10

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Solution

The fourth proportional to 744.74, 1,027.70 and 413.10 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.74 : 1,027.70 = 413.10 : x
  2. Step 2: Convert to fraction form
    744.74/1,027.70 = 413.10/x
  3. Step 3: Cross multiply
    744.74x = 1,027.70 × 413.10
  4. Step 4: Simplify right side
    744.74x = 424,542.87
  5. Step 5: Solve for x
    x = 424,542.87/744.74
  6. Step 6: Final answer
    x = 570.06

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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.