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Finding the Fourth Proportional to 1,237.29, 1,706.34 and 739.74

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Solution

The fourth proportional to 1,237.29, 1,706.34 and 739.74 is: 1,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.29 : 1,706.34 = 739.74 : x
  2. Step 2: Convert to fraction form
    1,237.29/1,706.34 = 739.74/x
  3. Step 3: Cross multiply
    1,237.29x = 1,706.34 × 739.74
  4. Step 4: Simplify right side
    1,237.29x = 1,262,247.95
  5. Step 5: Solve for x
    x = 1,262,247.95/1,237.29
  6. Step 6: Final answer
    x = 1,020.17

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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.