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Finding the Fourth Proportional to 1,402.34, 2,103.87 and 428.45

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Solution

The fourth proportional to 1,402.34, 2,103.87 and 428.45 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.34 : 2,103.87 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,402.34/2,103.87 = 428.45/x
  3. Step 3: Cross multiply
    1,402.34x = 2,103.87 × 428.45
  4. Step 4: Simplify right side
    1,402.34x = 901,392.58
  5. Step 5: Solve for x
    x = 901,392.58/1,402.34
  6. Step 6: Final answer
    x = 642.78

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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.