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Finding the Fourth Proportional to 738.06, 1,018.14 and 454.56

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Solution

The fourth proportional to 738.06, 1,018.14 and 454.56 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.06 : 1,018.14 = 454.56 : x
  2. Step 2: Convert to fraction form
    738.06/1,018.14 = 454.56/x
  3. Step 3: Cross multiply
    738.06x = 1,018.14 × 454.56
  4. Step 4: Simplify right side
    738.06x = 462,805.72
  5. Step 5: Solve for x
    x = 462,805.72/738.06
  6. Step 6: Final answer
    x = 627.06

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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.