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Finding the Fourth Proportional to 1,024.57, 1,413.90 and 576.37

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Solution

The fourth proportional to 1,024.57, 1,413.90 and 576.37 is: 795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.57 : 1,413.90 = 576.37 : x
  2. Step 2: Convert to fraction form
    1,024.57/1,413.90 = 576.37/x
  3. Step 3: Cross multiply
    1,024.57x = 1,413.90 × 576.37
  4. Step 4: Simplify right side
    1,024.57x = 814,929.54
  5. Step 5: Solve for x
    x = 814,929.54/1,024.57
  6. Step 6: Final answer
    x = 795.39

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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.