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Finding the Fourth Proportional to 1,117.66, 1,676.68 and 387.04

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Solution

The fourth proportional to 1,117.66, 1,676.68 and 387.04 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.66 : 1,676.68 = 387.04 : x
  2. Step 2: Convert to fraction form
    1,117.66/1,676.68 = 387.04/x
  3. Step 3: Cross multiply
    1,117.66x = 1,676.68 × 387.04
  4. Step 4: Simplify right side
    1,117.66x = 648,942.23
  5. Step 5: Solve for x
    x = 648,942.23/1,117.66
  6. Step 6: Final answer
    x = 580.63

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