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Finding the Fourth Proportional to 1,085.12, 1,495.97 and 686.58

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Solution

The fourth proportional to 1,085.12, 1,495.97 and 686.58 is: 946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.12 : 1,495.97 = 686.58 : x
  2. Step 2: Convert to fraction form
    1,085.12/1,495.97 = 686.58/x
  3. Step 3: Cross multiply
    1,085.12x = 1,495.97 × 686.58
  4. Step 4: Simplify right side
    1,085.12x = 1,027,103.08
  5. Step 5: Solve for x
    x = 1,027,103.08/1,085.12
  6. Step 6: Final answer
    x = 946.53

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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.