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Finding the Fourth Proportional to 762.69, 1,052.51 and 413.38

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Solution

The fourth proportional to 762.69, 1,052.51 and 413.38 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,052.51 = 413.38 : x
  2. Step 2: Convert to fraction form
    762.69/1,052.51 = 413.38/x
  3. Step 3: Cross multiply
    762.69x = 1,052.51 × 413.38
  4. Step 4: Simplify right side
    762.69x = 435,081.32
  5. Step 5: Solve for x
    x = 435,081.32/762.69
  6. Step 6: Final answer
    x = 570.46

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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.