Home / 1,294.30-1,941.75-428.61

Finding the Fourth Proportional to 1,294.30, 1,941.75 and 428.61

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Solution

The fourth proportional to 1,294.30, 1,941.75 and 428.61 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.30 : 1,941.75 = 428.61 : x
  2. Step 2: Convert to fraction form
    1,294.30/1,941.75 = 428.61/x
  3. Step 3: Cross multiply
    1,294.30x = 1,941.75 × 428.61
  4. Step 4: Simplify right side
    1,294.30x = 832,253.47
  5. Step 5: Solve for x
    x = 832,253.47/1,294.30
  6. Step 6: Final answer
    x = 643.02

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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.