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Finding the Fourth Proportional to 1,207.78, 1,666.71 and 676.69

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Solution

The fourth proportional to 1,207.78, 1,666.71 and 676.69 is: 933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.78 : 1,666.71 = 676.69 : x
  2. Step 2: Convert to fraction form
    1,207.78/1,666.71 = 676.69/x
  3. Step 3: Cross multiply
    1,207.78x = 1,666.71 × 676.69
  4. Step 4: Simplify right side
    1,207.78x = 1,127,845.99
  5. Step 5: Solve for x
    x = 1,127,845.99/1,207.78
  6. Step 6: Final answer
    x = 933.82

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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.