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Finding the Fourth Proportional to 1,602.91, 2,404.77 and 492.38

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Solution

The fourth proportional to 1,602.91, 2,404.77 and 492.38 is: 738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.91 : 2,404.77 = 492.38 : x
  2. Step 2: Convert to fraction form
    1,602.91/2,404.77 = 492.38/x
  3. Step 3: Cross multiply
    1,602.91x = 2,404.77 × 492.38
  4. Step 4: Simplify right side
    1,602.91x = 1,184,052.18
  5. Step 5: Solve for x
    x = 1,184,052.18/1,602.91
  6. Step 6: Final answer
    x = 738.69

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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.