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Finding the Fourth Proportional to 1,281.13, 1,765.63 and 882.81

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Solution

The fourth proportional to 1,281.13, 1,765.63 and 882.81 is: 1,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.13 : 1,765.63 = 882.81 : x
  2. Step 2: Convert to fraction form
    1,281.13/1,765.63 = 882.81/x
  3. Step 3: Cross multiply
    1,281.13x = 1,765.63 × 882.81
  4. Step 4: Simplify right side
    1,281.13x = 1,558,711.41
  5. Step 5: Solve for x
    x = 1,558,711.41/1,281.13
  6. Step 6: Final answer
    x = 1,216.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.