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Finding the Fourth Proportional to 1,115, 1,538.54 and 716.44

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Solution

The fourth proportional to 1,115, 1,538.54 and 716.44 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115 : 1,538.54 = 716.44 : x
  2. Step 2: Convert to fraction form
    1,115/1,538.54 = 716.44/x
  3. Step 3: Cross multiply
    1,115x = 1,538.54 × 716.44
  4. Step 4: Simplify right side
    1,115x = 1,102,271.60
  5. Step 5: Solve for x
    x = 1,102,271.60/1,115
  6. Step 6: Final answer
    x = 988.58

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Why These Related Problems?

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