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Finding the Fourth Proportional to 1,237.23, 1,708.08 and 859.68

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Solution

The fourth proportional to 1,237.23, 1,708.08 and 859.68 is: 1,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.23 : 1,708.08 = 859.68 : x
  2. Step 2: Convert to fraction form
    1,237.23/1,708.08 = 859.68/x
  3. Step 3: Cross multiply
    1,237.23x = 1,708.08 × 859.68
  4. Step 4: Simplify right side
    1,237.23x = 1,468,402.21
  5. Step 5: Solve for x
    x = 1,468,402.21/1,237.23
  6. Step 6: Final answer
    x = 1,186.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.