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Finding the Fourth Proportional to 1,335, 2,002.82 and 423

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Solution

The fourth proportional to 1,335, 2,002.82 and 423 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335 : 2,002.82 = 423 : x
  2. Step 2: Convert to fraction form
    1,335/2,002.82 = 423/x
  3. Step 3: Cross multiply
    1,335x = 2,002.82 × 423
  4. Step 4: Simplify right side
    1,335x = 847,192.86
  5. Step 5: Solve for x
    x = 847,192.86/1,335
  6. Step 6: Final answer
    x = 634.60

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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.