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Finding the Fourth Proportional to 1,131.76, 1,559.71 and 882.68

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Solution

The fourth proportional to 1,131.76, 1,559.71 and 882.68 is: 1,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.76 : 1,559.71 = 882.68 : x
  2. Step 2: Convert to fraction form
    1,131.76/1,559.71 = 882.68/x
  3. Step 3: Cross multiply
    1,131.76x = 1,559.71 × 882.68
  4. Step 4: Simplify right side
    1,131.76x = 1,376,726.52
  5. Step 5: Solve for x
    x = 1,376,726.52/1,131.76
  6. Step 6: Final answer
    x = 1,216.45

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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.