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Finding the Fourth Proportional to 738.35, 1,018.97 and 514.29

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Solution

The fourth proportional to 738.35, 1,018.97 and 514.29 is: 709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.35 : 1,018.97 = 514.29 : x
  2. Step 2: Convert to fraction form
    738.35/1,018.97 = 514.29/x
  3. Step 3: Cross multiply
    738.35x = 1,018.97 × 514.29
  4. Step 4: Simplify right side
    738.35x = 524,052.15
  5. Step 5: Solve for x
    x = 524,052.15/738.35
  6. Step 6: Final answer
    x = 709.76

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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.