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Finding the Fourth Proportional to 809.32, 1,116.92 and 455.27

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Solution

The fourth proportional to 809.32, 1,116.92 and 455.27 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,116.92 = 455.27 : x
  2. Step 2: Convert to fraction form
    809.32/1,116.92 = 455.27/x
  3. Step 3: Cross multiply
    809.32x = 1,116.92 × 455.27
  4. Step 4: Simplify right side
    809.32x = 508,500.17
  5. Step 5: Solve for x
    x = 508,500.17/809.32
  6. Step 6: Final answer
    x = 628.31

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1.5x scale

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.