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Finding the Fourth Proportional to 1,147.82, 1,718.55 and 869.32

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Solution

The fourth proportional to 1,147.82, 1,718.55 and 869.32 is: 1,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.82 : 1,718.55 = 869.32 : x
  2. Step 2: Convert to fraction form
    1,147.82/1,718.55 = 869.32/x
  3. Step 3: Cross multiply
    1,147.82x = 1,718.55 × 869.32
  4. Step 4: Simplify right side
    1,147.82x = 1,493,969.89
  5. Step 5: Solve for x
    x = 1,493,969.89/1,147.82
  6. Step 6: Final answer
    x = 1,301.57

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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.