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Finding the Fourth Proportional to 805.74, 1,111.14 and 609.72

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Solution

The fourth proportional to 805.74, 1,111.14 and 609.72 is: 840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.74 : 1,111.14 = 609.72 : x
  2. Step 2: Convert to fraction form
    805.74/1,111.14 = 609.72/x
  3. Step 3: Cross multiply
    805.74x = 1,111.14 × 609.72
  4. Step 4: Simplify right side
    805.74x = 677,484.28
  5. Step 5: Solve for x
    x = 677,484.28/805.74
  6. Step 6: Final answer
    x = 840.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.