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Finding the Fourth Proportional to 1,117.36, 1,676.44 and 501

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Solution

The fourth proportional to 1,117.36, 1,676.44 and 501 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.36 : 1,676.44 = 501 : x
  2. Step 2: Convert to fraction form
    1,117.36/1,676.44 = 501/x
  3. Step 3: Cross multiply
    1,117.36x = 1,676.44 × 501
  4. Step 4: Simplify right side
    1,117.36x = 839,896.44
  5. Step 5: Solve for x
    x = 839,896.44/1,117.36
  6. Step 6: Final answer
    x = 751.68

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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.