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Finding the Fourth Proportional to 1,355.33, 1,869.62 and 882.63

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Solution

The fourth proportional to 1,355.33, 1,869.62 and 882.63 is: 1,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.33 : 1,869.62 = 882.63 : x
  2. Step 2: Convert to fraction form
    1,355.33/1,869.62 = 882.63/x
  3. Step 3: Cross multiply
    1,355.33x = 1,869.62 × 882.63
  4. Step 4: Simplify right side
    1,355.33x = 1,650,178.29
  5. Step 5: Solve for x
    x = 1,650,178.29/1,355.33
  6. Step 6: Final answer
    x = 1,217.54

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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.