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Finding the Fourth Proportional to 1,294.34, 1,941.71 and 428.45

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Solution

The fourth proportional to 1,294.34, 1,941.71 and 428.45 is: 642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.34 : 1,941.71 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,294.34/1,941.71 = 428.45/x
  3. Step 3: Cross multiply
    1,294.34x = 1,941.71 × 428.45
  4. Step 4: Simplify right side
    1,294.34x = 831,913.80
  5. Step 5: Solve for x
    x = 831,913.80/1,294.34
  6. Step 6: Final answer
    x = 642.73

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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.