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Finding the Fourth Proportional to 1,237.56, 1,708.02 and 706.44

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Solution

The fourth proportional to 1,237.56, 1,708.02 and 706.44 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.56 : 1,708.02 = 706.44 : x
  2. Step 2: Convert to fraction form
    1,237.56/1,708.02 = 706.44/x
  3. Step 3: Cross multiply
    1,237.56x = 1,708.02 × 706.44
  4. Step 4: Simplify right side
    1,237.56x = 1,206,605.11
  5. Step 5: Solve for x
    x = 1,206,605.11/1,237.56
  6. Step 6: Final answer
    x = 974.99

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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.