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Finding the Fourth Proportional to 805.10, 1,207.86 and 342.98

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Solution

The fourth proportional to 805.10, 1,207.86 and 342.98 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.10 : 1,207.86 = 342.98 : x
  2. Step 2: Convert to fraction form
    805.10/1,207.86 = 342.98/x
  3. Step 3: Cross multiply
    805.10x = 1,207.86 × 342.98
  4. Step 4: Simplify right side
    805.10x = 414,271.82
  5. Step 5: Solve for x
    x = 414,271.82/805.10
  6. Step 6: Final answer
    x = 514.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.