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Finding the Fourth Proportional to 738.84, 1,106.48 and 685.38

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Solution

The fourth proportional to 738.84, 1,106.48 and 685.38 is: 1,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,106.48 = 685.38 : x
  2. Step 2: Convert to fraction form
    738.84/1,106.48 = 685.38/x
  3. Step 3: Cross multiply
    738.84x = 1,106.48 × 685.38
  4. Step 4: Simplify right side
    738.84x = 758,359.26
  5. Step 5: Solve for x
    x = 758,359.26/738.84
  6. Step 6: Final answer
    x = 1,026.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.