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Finding the Fourth Proportional to 805.67, 1,111.74 and 456.29

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Solution

The fourth proportional to 805.67, 1,111.74 and 456.29 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.67 : 1,111.74 = 456.29 : x
  2. Step 2: Convert to fraction form
    805.67/1,111.74 = 456.29/x
  3. Step 3: Cross multiply
    805.67x = 1,111.74 × 456.29
  4. Step 4: Simplify right side
    805.67x = 507,275.84
  5. Step 5: Solve for x
    x = 507,275.84/805.67
  6. Step 6: Final answer
    x = 629.63

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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.