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Finding the Fourth Proportional to 732.86, 1,010.98 and 438.05

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Solution

The fourth proportional to 732.86, 1,010.98 and 438.05 is: 604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.86 : 1,010.98 = 438.05 : x
  2. Step 2: Convert to fraction form
    732.86/1,010.98 = 438.05/x
  3. Step 3: Cross multiply
    732.86x = 1,010.98 × 438.05
  4. Step 4: Simplify right side
    732.86x = 442,859.79
  5. Step 5: Solve for x
    x = 442,859.79/732.86
  6. Step 6: Final answer
    x = 604.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.