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Finding the Fourth Proportional to 991.16, 1,487.71 and 827.68

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Solution

The fourth proportional to 991.16, 1,487.71 and 827.68 is: 1,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.16 : 1,487.71 = 827.68 : x
  2. Step 2: Convert to fraction form
    991.16/1,487.71 = 827.68/x
  3. Step 3: Cross multiply
    991.16x = 1,487.71 × 827.68
  4. Step 4: Simplify right side
    991.16x = 1,231,342.34
  5. Step 5: Solve for x
    x = 1,231,342.34/991.16
  6. Step 6: Final answer
    x = 1,242.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.