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Finding the Fourth Proportional to 987.94, 1,362.84 and 801.64

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Solution

The fourth proportional to 987.94, 1,362.84 and 801.64 is: 1,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.94 : 1,362.84 = 801.64 : x
  2. Step 2: Convert to fraction form
    987.94/1,362.84 = 801.64/x
  3. Step 3: Cross multiply
    987.94x = 1,362.84 × 801.64
  4. Step 4: Simplify right side
    987.94x = 1,092,507.06
  5. Step 5: Solve for x
    x = 1,092,507.06/987.94
  6. Step 6: Final answer
    x = 1,105.84

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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.