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Finding the Fourth Proportional to 991.85, 1,487.86 and 472.09

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Solution

The fourth proportional to 991.85, 1,487.86 and 472.09 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.85 : 1,487.86 = 472.09 : x
  2. Step 2: Convert to fraction form
    991.85/1,487.86 = 472.09/x
  3. Step 3: Cross multiply
    991.85x = 1,487.86 × 472.09
  4. Step 4: Simplify right side
    991.85x = 702,403.83
  5. Step 5: Solve for x
    x = 702,403.83/991.85
  6. Step 6: Final answer
    x = 708.18

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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.