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Finding the Fourth Proportional to 991.52, 1,365.84 and 947.36

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Solution

The fourth proportional to 991.52, 1,365.84 and 947.36 is: 1,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.52 : 1,365.84 = 947.36 : x
  2. Step 2: Convert to fraction form
    991.52/1,365.84 = 947.36/x
  3. Step 3: Cross multiply
    991.52x = 1,365.84 × 947.36
  4. Step 4: Simplify right side
    991.52x = 1,293,942.18
  5. Step 5: Solve for x
    x = 1,293,942.18/991.52
  6. Step 6: Final answer
    x = 1,305.01

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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.