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Finding the Fourth Proportional to 988.21, 1,362.71 and 848.79

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Solution

The fourth proportional to 988.21, 1,362.71 and 848.79 is: 1,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.21 : 1,362.71 = 848.79 : x
  2. Step 2: Convert to fraction form
    988.21/1,362.71 = 848.79/x
  3. Step 3: Cross multiply
    988.21x = 1,362.71 × 848.79
  4. Step 4: Simplify right side
    988.21x = 1,156,654.62
  5. Step 5: Solve for x
    x = 1,156,654.62/988.21
  6. Step 6: Final answer
    x = 1,170.45

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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.