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Finding the Fourth Proportional to 990.98, 1,487.16 and 341.72

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Solution

The fourth proportional to 990.98, 1,487.16 and 341.72 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.98 : 1,487.16 = 341.72 : x
  2. Step 2: Convert to fraction form
    990.98/1,487.16 = 341.72/x
  3. Step 3: Cross multiply
    990.98x = 1,487.16 × 341.72
  4. Step 4: Simplify right side
    990.98x = 508,190.46
  5. Step 5: Solve for x
    x = 508,190.46/990.98
  6. Step 6: Final answer
    x = 512.81

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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.