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Finding the Fourth Proportional to 990.28, 1,484.73 and 434.72

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Solution

The fourth proportional to 990.28, 1,484.73 and 434.72 is: 651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.28 : 1,484.73 = 434.72 : x
  2. Step 2: Convert to fraction form
    990.28/1,484.73 = 434.72/x
  3. Step 3: Cross multiply
    990.28x = 1,484.73 × 434.72
  4. Step 4: Simplify right side
    990.28x = 645,441.83
  5. Step 5: Solve for x
    x = 645,441.83/990.28
  6. Step 6: Final answer
    x = 651.78

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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.