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Finding the Fourth Proportional to 914.44, 1,371.78 and 709

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Solution

The fourth proportional to 914.44, 1,371.78 and 709 is: 1,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.44 : 1,371.78 = 709 : x
  2. Step 2: Convert to fraction form
    914.44/1,371.78 = 709/x
  3. Step 3: Cross multiply
    914.44x = 1,371.78 × 709
  4. Step 4: Simplify right side
    914.44x = 972,592.02
  5. Step 5: Solve for x
    x = 972,592.02/914.44
  6. Step 6: Final answer
    x = 1,063.59

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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.