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Finding the Fourth Proportional to 744.56, 1,027.50 and 413.00

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Solution

The fourth proportional to 744.56, 1,027.50 and 413.00 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.56 : 1,027.50 = 413.00 : x
  2. Step 2: Convert to fraction form
    744.56/1,027.50 = 413.00/x
  3. Step 3: Cross multiply
    744.56x = 1,027.50 × 413.00
  4. Step 4: Simplify right side
    744.56x = 424,356.99
  5. Step 5: Solve for x
    x = 424,356.99/744.56
  6. Step 6: Final answer
    x = 569.94

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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.