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Finding the Fourth Proportional to 738.39, 1,019.00 and 406.84

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Solution

The fourth proportional to 738.39, 1,019.00 and 406.84 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.39 : 1,019.00 = 406.84 : x
  2. Step 2: Convert to fraction form
    738.39/1,019.00 = 406.84/x
  3. Step 3: Cross multiply
    738.39x = 1,019.00 × 406.84
  4. Step 4: Simplify right side
    738.39x = 414,568.43
  5. Step 5: Solve for x
    x = 414,568.43/738.39
  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.