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Finding the Fourth Proportional to 1,294.66, 1,941.99 and 514.63

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Solution

The fourth proportional to 1,294.66, 1,941.99 and 514.63 is: 771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.66 : 1,941.99 = 514.63 : x
  2. Step 2: Convert to fraction form
    1,294.66/1,941.99 = 514.63/x
  3. Step 3: Cross multiply
    1,294.66x = 1,941.99 × 514.63
  4. Step 4: Simplify right side
    1,294.66x = 999,406.31
  5. Step 5: Solve for x
    x = 999,406.31/1,294.66
  6. Step 6: Final answer
    x = 771.95

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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.