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Finding the Fourth Proportional to 803.67, 1,108.43 and 524

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Solution

The fourth proportional to 803.67, 1,108.43 and 524 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.67 : 1,108.43 = 524 : x
  2. Step 2: Convert to fraction form
    803.67/1,108.43 = 524/x
  3. Step 3: Cross multiply
    803.67x = 1,108.43 × 524
  4. Step 4: Simplify right side
    803.67x = 580,817.32
  5. Step 5: Solve for x
    x = 580,817.32/803.67
  6. Step 6: Final answer
    x = 722.71

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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.