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Finding the Fourth Proportional to 1,293.79, 1,941.24 and 636.16

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Solution

The fourth proportional to 1,293.79, 1,941.24 and 636.16 is: 954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.79 : 1,941.24 = 636.16 : x
  2. Step 2: Convert to fraction form
    1,293.79/1,941.24 = 636.16/x
  3. Step 3: Cross multiply
    1,293.79x = 1,941.24 × 636.16
  4. Step 4: Simplify right side
    1,293.79x = 1,234,939.24
  5. Step 5: Solve for x
    x = 1,234,939.24/1,293.79
  6. Step 6: Final answer
    x = 954.51

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1.5x scale

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.