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Finding the Fourth Proportional to 1,024, 1,413.24 and 610

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Solution

The fourth proportional to 1,024, 1,413.24 and 610 is: 841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,413.24 = 610 : x
  2. Step 2: Convert to fraction form
    1,024/1,413.24 = 610/x
  3. Step 3: Cross multiply
    1,024x = 1,413.24 × 610
  4. Step 4: Simplify right side
    1,024x = 862,076.40
  5. Step 5: Solve for x
    x = 862,076.40/1,024
  6. Step 6: Final answer
    x = 841.87

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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.