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Finding the Fourth Proportional to 991.46, 1,487.87 and 342.19

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Solution

The fourth proportional to 991.46, 1,487.87 and 342.19 is: 513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.46 : 1,487.87 = 342.19 : x
  2. Step 2: Convert to fraction form
    991.46/1,487.87 = 342.19/x
  3. Step 3: Cross multiply
    991.46x = 1,487.87 × 342.19
  4. Step 4: Simplify right side
    991.46x = 509,139.89
  5. Step 5: Solve for x
    x = 509,139.89/991.46
  6. Step 6: Final answer
    x = 513.53

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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.