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Finding the Fourth Proportional to 1,024.68, 1,413.84 and 709.46

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Solution

The fourth proportional to 1,024.68, 1,413.84 and 709.46 is: 978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.68 : 1,413.84 = 709.46 : x
  2. Step 2: Convert to fraction form
    1,024.68/1,413.84 = 709.46/x
  3. Step 3: Cross multiply
    1,024.68x = 1,413.84 × 709.46
  4. Step 4: Simplify right side
    1,024.68x = 1,003,062.93
  5. Step 5: Solve for x
    x = 1,003,062.93/1,024.68
  6. Step 6: Final answer
    x = 978.90

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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.