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Finding the Fourth Proportional to 1,030.91, 1,546.09 and 446.11

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Solution

The fourth proportional to 1,030.91, 1,546.09 and 446.11 is: 669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.91 : 1,546.09 = 446.11 : x
  2. Step 2: Convert to fraction form
    1,030.91/1,546.09 = 446.11/x
  3. Step 3: Cross multiply
    1,030.91x = 1,546.09 × 446.11
  4. Step 4: Simplify right side
    1,030.91x = 689,723.98
  5. Step 5: Solve for x
    x = 689,723.98/1,030.91
  6. Step 6: Final answer
    x = 669.05

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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.