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Finding the Fourth Proportional to 738.10, 1,018.70 and 443.47

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Solution

The fourth proportional to 738.10, 1,018.70 and 443.47 is: 612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.10 : 1,018.70 = 443.47 : x
  2. Step 2: Convert to fraction form
    738.10/1,018.70 = 443.47/x
  3. Step 3: Cross multiply
    738.10x = 1,018.70 × 443.47
  4. Step 4: Simplify right side
    738.10x = 451,762.89
  5. Step 5: Solve for x
    x = 451,762.89/738.10
  6. Step 6: Final answer
    x = 612.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.