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Finding the Fourth Proportional to 991.66, 1,487.29 and 342.46

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Solution

The fourth proportional to 991.66, 1,487.29 and 342.46 is: 513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.66 : 1,487.29 = 342.46 : x
  2. Step 2: Convert to fraction form
    991.66/1,487.29 = 342.46/x
  3. Step 3: Cross multiply
    991.66x = 1,487.29 × 342.46
  4. Step 4: Simplify right side
    991.66x = 509,337.33
  5. Step 5: Solve for x
    x = 509,337.33/991.66
  6. Step 6: Final answer
    x = 513.62

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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.