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Finding the Fourth Proportional to 1,173.67, 1,757.78 and 710.41

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Solution

The fourth proportional to 1,173.67, 1,757.78 and 710.41 is: 1,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.67 : 1,757.78 = 710.41 : x
  2. Step 2: Convert to fraction form
    1,173.67/1,757.78 = 710.41/x
  3. Step 3: Cross multiply
    1,173.67x = 1,757.78 × 710.41
  4. Step 4: Simplify right side
    1,173.67x = 1,248,740.94
  5. Step 5: Solve for x
    x = 1,248,740.94/1,173.67
  6. Step 6: Final answer
    x = 1,063.96

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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.