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Finding the Fourth Proportional to 1,029.22, 1,543.86 and 404.49

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Solution

The fourth proportional to 1,029.22, 1,543.86 and 404.49 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.22 : 1,543.86 = 404.49 : x
  2. Step 2: Convert to fraction form
    1,029.22/1,543.86 = 404.49/x
  3. Step 3: Cross multiply
    1,029.22x = 1,543.86 × 404.49
  4. Step 4: Simplify right side
    1,029.22x = 624,475.93
  5. Step 5: Solve for x
    x = 624,475.93/1,029.22
  6. Step 6: Final answer
    x = 606.75

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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.