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Finding the Fourth Proportional to 1,084.93, 1,496.80 and 712.12

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Solution

The fourth proportional to 1,084.93, 1,496.80 and 712.12 is: 982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.93 : 1,496.80 = 712.12 : x
  2. Step 2: Convert to fraction form
    1,084.93/1,496.80 = 712.12/x
  3. Step 3: Cross multiply
    1,084.93x = 1,496.80 × 712.12
  4. Step 4: Simplify right side
    1,084.93x = 1,065,890.17
  5. Step 5: Solve for x
    x = 1,065,890.17/1,084.93
  6. Step 6: Final answer
    x = 982.46

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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.