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Finding the Fourth Proportional to 762.33, 1,052.02 and 413.02

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Solution

The fourth proportional to 762.33, 1,052.02 and 413.02 is: 569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,052.02 = 413.02 : x
  2. Step 2: Convert to fraction form
    762.33/1,052.02 = 413.02/x
  3. Step 3: Cross multiply
    762.33x = 1,052.02 × 413.02
  4. Step 4: Simplify right side
    762.33x = 434,507.13
  5. Step 5: Solve for x
    x = 434,507.13/762.33
  6. Step 6: Final answer
    x = 569.97

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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.