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Finding the Fourth Proportional to 1,011.62, 1,395.42 and 712.34

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Solution

The fourth proportional to 1,011.62, 1,395.42 and 712.34 is: 982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.62 : 1,395.42 = 712.34 : x
  2. Step 2: Convert to fraction form
    1,011.62/1,395.42 = 712.34/x
  3. Step 3: Cross multiply
    1,011.62x = 1,395.42 × 712.34
  4. Step 4: Simplify right side
    1,011.62x = 994,009.07
  5. Step 5: Solve for x
    x = 994,009.07/1,011.62
  6. Step 6: Final answer
    x = 982.59

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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.