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Finding the Fourth Proportional to 1,295.34, 1,942.41 and 429.05

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Solution

The fourth proportional to 1,295.34, 1,942.41 and 429.05 is: 643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.34 : 1,942.41 = 429.05 : x
  2. Step 2: Convert to fraction form
    1,295.34/1,942.41 = 429.05/x
  3. Step 3: Cross multiply
    1,295.34x = 1,942.41 × 429.05
  4. Step 4: Simplify right side
    1,295.34x = 833,382.93
  5. Step 5: Solve for x
    x = 833,382.93/1,295.34
  6. Step 6: Final answer
    x = 643.37

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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.