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Finding the Fourth Proportional to 1,024.94, 1,413.90 and 729.69

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Solution

The fourth proportional to 1,024.94, 1,413.90 and 729.69 is: 1,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.94 : 1,413.90 = 729.69 : x
  2. Step 2: Convert to fraction form
    1,024.94/1,413.90 = 729.69/x
  3. Step 3: Cross multiply
    1,024.94x = 1,413.90 × 729.69
  4. Step 4: Simplify right side
    1,024.94x = 1,031,708.69
  5. Step 5: Solve for x
    x = 1,031,708.69/1,024.94
  6. Step 6: Final answer
    x = 1,006.61

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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.