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Finding the Fourth Proportional to 938.32, 1,407.66 and 451.96

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Solution

The fourth proportional to 938.32, 1,407.66 and 451.96 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.32 : 1,407.66 = 451.96 : x
  2. Step 2: Convert to fraction form
    938.32/1,407.66 = 451.96/x
  3. Step 3: Cross multiply
    938.32x = 1,407.66 × 451.96
  4. Step 4: Simplify right side
    938.32x = 636,206.01
  5. Step 5: Solve for x
    x = 636,206.01/938.32
  6. Step 6: Final answer
    x = 678.03

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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.