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Finding the Fourth Proportional to 1,024.82, 1,413.80 and 693.13

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Solution

The fourth proportional to 1,024.82, 1,413.80 and 693.13 is: 956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.82 : 1,413.80 = 693.13 : x
  2. Step 2: Convert to fraction form
    1,024.82/1,413.80 = 693.13/x
  3. Step 3: Cross multiply
    1,024.82x = 1,413.80 × 693.13
  4. Step 4: Simplify right side
    1,024.82x = 979,947.19
  5. Step 5: Solve for x
    x = 979,947.19/1,024.82
  6. Step 6: Final answer
    x = 956.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.