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Finding the Fourth Proportional to 1,270.08, 1,905.40 and 404.40

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Solution

The fourth proportional to 1,270.08, 1,905.40 and 404.40 is: 606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.08 : 1,905.40 = 404.40 : x
  2. Step 2: Convert to fraction form
    1,270.08/1,905.40 = 404.40/x
  3. Step 3: Cross multiply
    1,270.08x = 1,905.40 × 404.40
  4. Step 4: Simplify right side
    1,270.08x = 770,543.76
  5. Step 5: Solve for x
    x = 770,543.76/1,270.08
  6. Step 6: Final answer
    x = 606.69

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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.