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Finding the Fourth Proportional to 1,173.21, 1,619.05 and 707.49

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Solution

The fourth proportional to 1,173.21, 1,619.05 and 707.49 is: 976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.21 : 1,619.05 = 707.49 : x
  2. Step 2: Convert to fraction form
    1,173.21/1,619.05 = 707.49/x
  3. Step 3: Cross multiply
    1,173.21x = 1,619.05 × 707.49
  4. Step 4: Simplify right side
    1,173.21x = 1,145,453.59
  5. Step 5: Solve for x
    x = 1,145,453.59/1,173.21
  6. Step 6: Final answer
    x = 976.35

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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.