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Finding the Fourth Proportional to 672.23, 1,009.73 and 441.45

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Solution

The fourth proportional to 672.23, 1,009.73 and 441.45 is: 663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.23 : 1,009.73 = 441.45 : x
  2. Step 2: Convert to fraction form
    672.23/1,009.73 = 441.45/x
  3. Step 3: Cross multiply
    672.23x = 1,009.73 × 441.45
  4. Step 4: Simplify right side
    672.23x = 445,746.41
  5. Step 5: Solve for x
    x = 445,746.41/672.23
  6. Step 6: Final answer
    x = 663.08

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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.