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Finding the Fourth Proportional to 903.62, 1,354.38 and 382.84

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Solution

The fourth proportional to 903.62, 1,354.38 and 382.84 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.62 : 1,354.38 = 382.84 : x
  2. Step 2: Convert to fraction form
    903.62/1,354.38 = 382.84/x
  3. Step 3: Cross multiply
    903.62x = 1,354.38 × 382.84
  4. Step 4: Simplify right side
    903.62x = 518,510.84
  5. Step 5: Solve for x
    x = 518,510.84/903.62
  6. Step 6: Final answer
    x = 573.82

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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.