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Finding the Fourth Proportional to 805.45, 1,111.46 and 473.82

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Solution

The fourth proportional to 805.45, 1,111.46 and 473.82 is: 653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.45 : 1,111.46 = 473.82 : x
  2. Step 2: Convert to fraction form
    805.45/1,111.46 = 473.82/x
  3. Step 3: Cross multiply
    805.45x = 1,111.46 × 473.82
  4. Step 4: Simplify right side
    805.45x = 526,631.69
  5. Step 5: Solve for x
    x = 526,631.69/805.45
  6. Step 6: Final answer
    x = 653.84

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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.