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Finding the Fourth Proportional to 990.87, 1,486.39 and 297.49

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Solution

The fourth proportional to 990.87, 1,486.39 and 297.49 is: 446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.87 : 1,486.39 = 297.49 : x
  2. Step 2: Convert to fraction form
    990.87/1,486.39 = 297.49/x
  3. Step 3: Cross multiply
    990.87x = 1,486.39 × 297.49
  4. Step 4: Simplify right side
    990.87x = 442,186.16
  5. Step 5: Solve for x
    x = 442,186.16/990.87
  6. Step 6: Final answer
    x = 446.26

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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.