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Finding the Fourth Proportional to 805.88, 1,112 and 456.50

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Solution

The fourth proportional to 805.88, 1,112 and 456.50 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.88 : 1,112 = 456.50 : x
  2. Step 2: Convert to fraction form
    805.88/1,112 = 456.50/x
  3. Step 3: Cross multiply
    805.88x = 1,112 × 456.50
  4. Step 4: Simplify right side
    805.88x = 507,628
  5. Step 5: Solve for x
    x = 507,628/805.88
  6. Step 6: Final answer
    x = 629.91

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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.