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Finding the Fourth Proportional to 903.45, 1,354.84 and 492.02

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Solution

The fourth proportional to 903.45, 1,354.84 and 492.02 is: 737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.45 : 1,354.84 = 492.02 : x
  2. Step 2: Convert to fraction form
    903.45/1,354.84 = 492.02/x
  3. Step 3: Cross multiply
    903.45x = 1,354.84 × 492.02
  4. Step 4: Simplify right side
    903.45x = 666,608.38
  5. Step 5: Solve for x
    x = 666,608.38/903.45
  6. Step 6: Final answer
    x = 737.85

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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.