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Finding the Fourth Proportional to 803.52, 1,108.74 and 471.82

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Solution

The fourth proportional to 803.52, 1,108.74 and 471.82 is: 651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.52 : 1,108.74 = 471.82 : x
  2. Step 2: Convert to fraction form
    803.52/1,108.74 = 471.82/x
  3. Step 3: Cross multiply
    803.52x = 1,108.74 × 471.82
  4. Step 4: Simplify right side
    803.52x = 523,125.71
  5. Step 5: Solve for x
    x = 523,125.71/803.52
  6. Step 6: Final answer
    x = 651.04

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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.