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Finding the Fourth Proportional to 1,269.99, 1,904.96 and 404.30

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Solution

The fourth proportional to 1,269.99, 1,904.96 and 404.30 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.99 : 1,904.96 = 404.30 : x
  2. Step 2: Convert to fraction form
    1,269.99/1,904.96 = 404.30/x
  3. Step 3: Cross multiply
    1,269.99x = 1,904.96 × 404.30
  4. Step 4: Simplify right side
    1,269.99x = 770,181.10
  5. Step 5: Solve for x
    x = 770,181.10/1,269.99
  6. Step 6: Final answer
    x = 606.45

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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.