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Finding the Fourth Proportional to 1,059.97, 1,462.26 and 706.06

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Solution

The fourth proportional to 1,059.97, 1,462.26 and 706.06 is: 974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.97 : 1,462.26 = 706.06 : x
  2. Step 2: Convert to fraction form
    1,059.97/1,462.26 = 706.06/x
  3. Step 3: Cross multiply
    1,059.97x = 1,462.26 × 706.06
  4. Step 4: Simplify right side
    1,059.97x = 1,032,443.30
  5. Step 5: Solve for x
    x = 1,032,443.30/1,059.97
  6. Step 6: Final answer
    x = 974.03

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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.