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Finding the Fourth Proportional to 738.94, 1,019.80 and 407.43

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Solution

The fourth proportional to 738.94, 1,019.80 and 407.43 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.94 : 1,019.80 = 407.43 : x
  2. Step 2: Convert to fraction form
    738.94/1,019.80 = 407.43/x
  3. Step 3: Cross multiply
    738.94x = 1,019.80 × 407.43
  4. Step 4: Simplify right side
    738.94x = 415,497.11
  5. Step 5: Solve for x
    x = 415,497.11/738.94
  6. Step 6: Final answer
    x = 562.29

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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.