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Finding the Fourth Proportional to 738.60, 1,109.42 and 714

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Solution

The fourth proportional to 738.60, 1,109.42 and 714 is: 1,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,109.42 = 714 : x
  2. Step 2: Convert to fraction form
    738.60/1,109.42 = 714/x
  3. Step 3: Cross multiply
    738.60x = 1,109.42 × 714
  4. Step 4: Simplify right side
    738.60x = 792,125.88
  5. Step 5: Solve for x
    x = 792,125.88/738.60
  6. Step 6: Final answer
    x = 1,072.47

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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.