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Finding the Fourth Proportional to 1,342, 2,013 and 430

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Solution

The fourth proportional to 1,342, 2,013 and 430 is: 645

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342 : 2,013 = 430 : x
  2. Step 2: Convert to fraction form
    1,342/2,013 = 430/x
  3. Step 3: Cross multiply
    1,342x = 2,013 × 430
  4. Step 4: Simplify right side
    1,342x = 865,590
  5. Step 5: Solve for x
    x = 865,590/1,342
  6. Step 6: Final answer
    x = 645

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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.