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Finding the Fourth Proportional to 738.43, 1,018.99 and 406.87

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Solution

The fourth proportional to 738.43, 1,018.99 and 406.87 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.43 : 1,018.99 = 406.87 : x
  2. Step 2: Convert to fraction form
    738.43/1,018.99 = 406.87/x
  3. Step 3: Cross multiply
    738.43x = 1,018.99 × 406.87
  4. Step 4: Simplify right side
    738.43x = 414,589.33
  5. Step 5: Solve for x
    x = 414,589.33/738.43
  6. Step 6: Final answer
    x = 561.45

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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.