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Finding the Fourth Proportional to 1,294.30, 1,941.70 and 514.68

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Solution

The fourth proportional to 1,294.30, 1,941.70 and 514.68 is: 772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.30 : 1,941.70 = 514.68 : x
  2. Step 2: Convert to fraction form
    1,294.30/1,941.70 = 514.68/x
  3. Step 3: Cross multiply
    1,294.30x = 1,941.70 × 514.68
  4. Step 4: Simplify right side
    1,294.30x = 999,354.16
  5. Step 5: Solve for x
    x = 999,354.16/1,294.30
  6. Step 6: Final answer
    x = 772.12

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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.