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Finding the Fourth Proportional to 1,293.91, 1,941.54 and 514.32

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Solution

The fourth proportional to 1,293.91, 1,941.54 and 514.32 is: 771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.91 : 1,941.54 = 514.32 : x
  2. Step 2: Convert to fraction form
    1,293.91/1,941.54 = 514.32/x
  3. Step 3: Cross multiply
    1,293.91x = 1,941.54 × 514.32
  4. Step 4: Simplify right side
    1,293.91x = 998,563.64
  5. Step 5: Solve for x
    x = 998,563.64/1,293.91
  6. Step 6: Final answer
    x = 771.74

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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.