Home / 1,294.19-1,941.32-428.50

Finding the Fourth Proportional to 1,294.19, 1,941.32 and 428.50

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Solution

The fourth proportional to 1,294.19, 1,941.32 and 428.50 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.19 : 1,941.32 = 428.50 : x
  2. Step 2: Convert to fraction form
    1,294.19/1,941.32 = 428.50/x
  3. Step 3: Cross multiply
    1,294.19x = 1,941.32 × 428.50
  4. Step 4: Simplify right side
    1,294.19x = 831,853.48
  5. Step 5: Solve for x
    x = 831,853.48/1,294.19
  6. Step 6: Final answer
    x = 642.76

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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.