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Finding the Fourth Proportional to 762.60, 1,143.74 and 275.64

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Solution

The fourth proportional to 762.60, 1,143.74 and 275.64 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,143.74 = 275.64 : x
  2. Step 2: Convert to fraction form
    762.60/1,143.74 = 275.64/x
  3. Step 3: Cross multiply
    762.60x = 1,143.74 × 275.64
  4. Step 4: Simplify right side
    762.60x = 315,260.49
  5. Step 5: Solve for x
    x = 315,260.49/762.60
  6. Step 6: Final answer
    x = 413.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.