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Finding the Fourth Proportional to 988.14, 1,357.52 and 884.58

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Solution

The fourth proportional to 988.14, 1,357.52 and 884.58 is: 1,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.14 : 1,357.52 = 884.58 : x
  2. Step 2: Convert to fraction form
    988.14/1,357.52 = 884.58/x
  3. Step 3: Cross multiply
    988.14x = 1,357.52 × 884.58
  4. Step 4: Simplify right side
    988.14x = 1,200,835.04
  5. Step 5: Solve for x
    x = 1,200,835.04/988.14
  6. Step 6: Final answer
    x = 1,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.