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Finding the Fourth Proportional to 1,024.65, 1,413.70 and 709.43

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Solution

The fourth proportional to 1,024.65, 1,413.70 and 709.43 is: 978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,413.70 = 709.43 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,413.70 = 709.43/x
  3. Step 3: Cross multiply
    1,024.65x = 1,413.70 × 709.43
  4. Step 4: Simplify right side
    1,024.65x = 1,002,916.34
  5. Step 5: Solve for x
    x = 1,002,916.34/1,024.65
  6. Step 6: Final answer
    x = 978.79

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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.