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Finding the Fourth Proportional to 1,060.35, 1,588.91 and 443.72

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Solution

The fourth proportional to 1,060.35, 1,588.91 and 443.72 is: 664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.35 : 1,588.91 = 443.72 : x
  2. Step 2: Convert to fraction form
    1,060.35/1,588.91 = 443.72/x
  3. Step 3: Cross multiply
    1,060.35x = 1,588.91 × 443.72
  4. Step 4: Simplify right side
    1,060.35x = 705,032.56
  5. Step 5: Solve for x
    x = 705,032.56/1,060.35
  6. Step 6: Final answer
    x = 664.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.