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Finding the Fourth Proportional to 672.96, 1,009.75 and 491.32

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Solution

The fourth proportional to 672.96, 1,009.75 and 491.32 is: 737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.96 : 1,009.75 = 491.32 : x
  2. Step 2: Convert to fraction form
    672.96/1,009.75 = 491.32/x
  3. Step 3: Cross multiply
    672.96x = 1,009.75 × 491.32
  4. Step 4: Simplify right side
    672.96x = 496,110.37
  5. Step 5: Solve for x
    x = 496,110.37/672.96
  6. Step 6: Final answer
    x = 737.21

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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.