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Finding the Fourth Proportional to 806.62, 1,113.24 and 457.24

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Solution

The fourth proportional to 806.62, 1,113.24 and 457.24 is: 631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.62 : 1,113.24 = 457.24 : x
  2. Step 2: Convert to fraction form
    806.62/1,113.24 = 457.24/x
  3. Step 3: Cross multiply
    806.62x = 1,113.24 × 457.24
  4. Step 4: Simplify right side
    806.62x = 509,017.86
  5. Step 5: Solve for x
    x = 509,017.86/806.62
  6. Step 6: Final answer
    x = 631.05

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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.