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Finding the Fourth Proportional to 1,175.35, 1,764.31 and 866.25

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Solution

The fourth proportional to 1,175.35, 1,764.31 and 866.25 is: 1,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.35 : 1,764.31 = 866.25 : x
  2. Step 2: Convert to fraction form
    1,175.35/1,764.31 = 866.25/x
  3. Step 3: Cross multiply
    1,175.35x = 1,764.31 × 866.25
  4. Step 4: Simplify right side
    1,175.35x = 1,528,322.55
  5. Step 5: Solve for x
    x = 1,528,322.55/1,175.35
  6. Step 6: Final answer
    x = 1,300.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.