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Finding the Fourth Proportional to 738.29, 1,019.13 and 443.57

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Solution

The fourth proportional to 738.29, 1,019.13 and 443.57 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.29 : 1,019.13 = 443.57 : x
  2. Step 2: Convert to fraction form
    738.29/1,019.13 = 443.57/x
  3. Step 3: Cross multiply
    738.29x = 1,019.13 × 443.57
  4. Step 4: Simplify right side
    738.29x = 452,055.49
  5. Step 5: Solve for x
    x = 452,055.49/738.29
  6. Step 6: Final answer
    x = 612.30

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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.