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Finding the Fourth Proportional to 1,085.10, 1,625.85 and 930.30

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Solution

The fourth proportional to 1,085.10, 1,625.85 and 930.30 is: 1,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.10 : 1,625.85 = 930.30 : x
  2. Step 2: Convert to fraction form
    1,085.10/1,625.85 = 930.30/x
  3. Step 3: Cross multiply
    1,085.10x = 1,625.85 × 930.30
  4. Step 4: Simplify right side
    1,085.10x = 1,512,528.26
  5. Step 5: Solve for x
    x = 1,512,528.26/1,085.10
  6. Step 6: Final answer
    x = 1,393.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.