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Finding the Fourth Proportional to 1,430.44, 2,145.54 and 404.44

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Solution

The fourth proportional to 1,430.44, 2,145.54 and 404.44 is: 606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.44 : 2,145.54 = 404.44 : x
  2. Step 2: Convert to fraction form
    1,430.44/2,145.54 = 404.44/x
  3. Step 3: Cross multiply
    1,430.44x = 2,145.54 × 404.44
  4. Step 4: Simplify right side
    1,430.44x = 867,742.20
  5. Step 5: Solve for x
    x = 867,742.20/1,430.44
  6. Step 6: Final answer
    x = 606.63

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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.