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Finding the Fourth Proportional to 805.65, 1,111.74 and 474.09

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Solution

The fourth proportional to 805.65, 1,111.74 and 474.09 is: 654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,111.74 = 474.09 : x
  2. Step 2: Convert to fraction form
    805.65/1,111.74 = 474.09/x
  3. Step 3: Cross multiply
    805.65x = 1,111.74 × 474.09
  4. Step 4: Simplify right side
    805.65x = 527,064.82
  5. Step 5: Solve for x
    x = 527,064.82/805.65
  6. Step 6: Final answer
    x = 654.21

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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.