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Finding the Fourth Proportional to 805.65, 1,111.76 and 451.61

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Solution

The fourth proportional to 805.65, 1,111.76 and 451.61 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,111.76 = 451.61 : x
  2. Step 2: Convert to fraction form
    805.65/1,111.76 = 451.61/x
  3. Step 3: Cross multiply
    805.65x = 1,111.76 × 451.61
  4. Step 4: Simplify right side
    805.65x = 502,077.50
  5. Step 5: Solve for x
    x = 502,077.50/805.65
  6. Step 6: Final answer
    x = 623.20

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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.