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Finding the Fourth Proportional to 1,116.05, 1,673.76 and 375.58

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Solution

The fourth proportional to 1,116.05, 1,673.76 and 375.58 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.05 : 1,673.76 = 375.58 : x
  2. Step 2: Convert to fraction form
    1,116.05/1,673.76 = 375.58/x
  3. Step 3: Cross multiply
    1,116.05x = 1,673.76 × 375.58
  4. Step 4: Simplify right side
    1,116.05x = 628,637.40
  5. Step 5: Solve for x
    x = 628,637.40/1,116.05
  6. Step 6: Final answer
    x = 563.27

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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.