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Finding the Fourth Proportional to 1,068.86, 1,475.10 and 675.86

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Solution

The fourth proportional to 1,068.86, 1,475.10 and 675.86 is: 932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.86 : 1,475.10 = 675.86 : x
  2. Step 2: Convert to fraction form
    1,068.86/1,475.10 = 675.86/x
  3. Step 3: Cross multiply
    1,068.86x = 1,475.10 × 675.86
  4. Step 4: Simplify right side
    1,068.86x = 996,961.09
  5. Step 5: Solve for x
    x = 996,961.09/1,068.86
  6. Step 6: Final answer
    x = 932.73

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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.