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Finding the Fourth Proportional to 806.96, 1,113.63 and 457.63

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Solution

The fourth proportional to 806.96, 1,113.63 and 457.63 is: 631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,113.63 = 457.63 : x
  2. Step 2: Convert to fraction form
    806.96/1,113.63 = 457.63/x
  3. Step 3: Cross multiply
    806.96x = 1,113.63 × 457.63
  4. Step 4: Simplify right side
    806.96x = 509,630.50
  5. Step 5: Solve for x
    x = 509,630.50/806.96
  6. Step 6: Final answer
    x = 631.54

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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.