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Finding the Fourth Proportional to 882.09, 1,214.60 and 788.54

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Solution

The fourth proportional to 882.09, 1,214.60 and 788.54 is: 1,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.09 : 1,214.60 = 788.54 : x
  2. Step 2: Convert to fraction form
    882.09/1,214.60 = 788.54/x
  3. Step 3: Cross multiply
    882.09x = 1,214.60 × 788.54
  4. Step 4: Simplify right side
    882.09x = 957,750.67
  5. Step 5: Solve for x
    x = 957,750.67/882.09
  6. Step 6: Final answer
    x = 1,085.77

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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.