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Finding the Fourth Proportional to 738.54, 1,018.69 and 514.11

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Solution

The fourth proportional to 738.54, 1,018.69 and 514.11 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,018.69 = 514.11 : x
  2. Step 2: Convert to fraction form
    738.54/1,018.69 = 514.11/x
  3. Step 3: Cross multiply
    738.54x = 1,018.69 × 514.11
  4. Step 4: Simplify right side
    738.54x = 523,718.72
  5. Step 5: Solve for x
    x = 523,718.72/738.54
  6. Step 6: Final answer
    x = 709.13

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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.