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Finding the Fourth Proportional to 1,029.14, 1,543.82 and 443.66

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Solution

The fourth proportional to 1,029.14, 1,543.82 and 443.66 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,543.82 = 443.66 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,543.82 = 443.66/x
  3. Step 3: Cross multiply
    1,029.14x = 1,543.82 × 443.66
  4. Step 4: Simplify right side
    1,029.14x = 684,931.18
  5. Step 5: Solve for x
    x = 684,931.18/1,029.14
  6. Step 6: Final answer
    x = 665.54

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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.