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Finding the Fourth Proportional to 1,199.12, 1,654.66 and 675.12

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Solution

The fourth proportional to 1,199.12, 1,654.66 and 675.12 is: 931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.12 : 1,654.66 = 675.12 : x
  2. Step 2: Convert to fraction form
    1,199.12/1,654.66 = 675.12/x
  3. Step 3: Cross multiply
    1,199.12x = 1,654.66 × 675.12
  4. Step 4: Simplify right side
    1,199.12x = 1,117,094.06
  5. Step 5: Solve for x
    x = 1,117,094.06/1,199.12
  6. Step 6: Final answer
    x = 931.59

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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.