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Finding the Fourth Proportional to 738.52, 1,019.07 and 443.74

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Solution

The fourth proportional to 738.52, 1,019.07 and 443.74 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,019.07 = 443.74 : x
  2. Step 2: Convert to fraction form
    738.52/1,019.07 = 443.74/x
  3. Step 3: Cross multiply
    738.52x = 1,019.07 × 443.74
  4. Step 4: Simplify right side
    738.52x = 452,202.12
  5. Step 5: Solve for x
    x = 452,202.12/738.52
  6. Step 6: Final answer
    x = 612.31

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Double scale
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1.5x scale

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.