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Finding the Fourth Proportional to 1,024.52, 1,413.78 and 631.40

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Solution

The fourth proportional to 1,024.52, 1,413.78 and 631.40 is: 871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.52 : 1,413.78 = 631.40 : x
  2. Step 2: Convert to fraction form
    1,024.52/1,413.78 = 631.40/x
  3. Step 3: Cross multiply
    1,024.52x = 1,413.78 × 631.40
  4. Step 4: Simplify right side
    1,024.52x = 892,660.69
  5. Step 5: Solve for x
    x = 892,660.69/1,024.52
  6. Step 6: Final answer
    x = 871.30

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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.