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Finding the Fourth Proportional to 1,207.93, 1,666.83 and 676.78

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Solution

The fourth proportional to 1,207.93, 1,666.83 and 676.78 is: 933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.93 : 1,666.83 = 676.78 : x
  2. Step 2: Convert to fraction form
    1,207.93/1,666.83 = 676.78/x
  3. Step 3: Cross multiply
    1,207.93x = 1,666.83 × 676.78
  4. Step 4: Simplify right side
    1,207.93x = 1,128,077.21
  5. Step 5: Solve for x
    x = 1,128,077.21/1,207.93
  6. Step 6: Final answer
    x = 933.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.