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Finding the Fourth Proportional to 1,148.58, 1,585.81 and 882.55

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Solution

The fourth proportional to 1,148.58, 1,585.81 and 882.55 is: 1,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.58 : 1,585.81 = 882.55 : x
  2. Step 2: Convert to fraction form
    1,148.58/1,585.81 = 882.55/x
  3. Step 3: Cross multiply
    1,148.58x = 1,585.81 × 882.55
  4. Step 4: Simplify right side
    1,148.58x = 1,399,556.39
  5. Step 5: Solve for x
    x = 1,399,556.39/1,148.58
  6. Step 6: Final answer
    x = 1,218.51

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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.