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Finding the Fourth Proportional to 1,084.34, 1,496.61 and 735.14

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Solution

The fourth proportional to 1,084.34, 1,496.61 and 735.14 is: 1,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.34 : 1,496.61 = 735.14 : x
  2. Step 2: Convert to fraction form
    1,084.34/1,496.61 = 735.14/x
  3. Step 3: Cross multiply
    1,084.34x = 1,496.61 × 735.14
  4. Step 4: Simplify right side
    1,084.34x = 1,100,217.88
  5. Step 5: Solve for x
    x = 1,100,217.88/1,084.34
  6. Step 6: Final answer
    x = 1,014.64

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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.