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Finding the Fourth Proportional to 1,294.76, 1,942.14 and 429.14

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Solution

The fourth proportional to 1,294.76, 1,942.14 and 429.14 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.76 : 1,942.14 = 429.14 : x
  2. Step 2: Convert to fraction form
    1,294.76/1,942.14 = 429.14/x
  3. Step 3: Cross multiply
    1,294.76x = 1,942.14 × 429.14
  4. Step 4: Simplify right side
    1,294.76x = 833,449.96
  5. Step 5: Solve for x
    x = 833,449.96/1,294.76
  6. Step 6: Final answer
    x = 643.71

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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.