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Finding the Fourth Proportional to 738.54, 1,019.12 and 455.02

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Solution

The fourth proportional to 738.54, 1,019.12 and 455.02 is: 627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,019.12 = 455.02 : x
  2. Step 2: Convert to fraction form
    738.54/1,019.12 = 455.02/x
  3. Step 3: Cross multiply
    738.54x = 1,019.12 × 455.02
  4. Step 4: Simplify right side
    738.54x = 463,719.98
  5. Step 5: Solve for x
    x = 463,719.98/738.54
  6. Step 6: Final answer
    x = 627.89

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Why These Related Problems?

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