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Finding the Fourth Proportional to 744.99, 1,028.07 and 413.40

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Solution

The fourth proportional to 744.99, 1,028.07 and 413.40 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.99 : 1,028.07 = 413.40 : x
  2. Step 2: Convert to fraction form
    744.99/1,028.07 = 413.40/x
  3. Step 3: Cross multiply
    744.99x = 1,028.07 × 413.40
  4. Step 4: Simplify right side
    744.99x = 425,004.14
  5. Step 5: Solve for x
    x = 425,004.14/744.99
  6. Step 6: Final answer
    x = 570.48

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1.5x scale

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.