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Finding the Fourth Proportional to 809.57, 1,117.12 and 477.88

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Solution

The fourth proportional to 809.57, 1,117.12 and 477.88 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,117.12 = 477.88 : x
  2. Step 2: Convert to fraction form
    809.57/1,117.12 = 477.88/x
  3. Step 3: Cross multiply
    809.57x = 1,117.12 × 477.88
  4. Step 4: Simplify right side
    809.57x = 533,849.31
  5. Step 5: Solve for x
    x = 533,849.31/809.57
  6. Step 6: Final answer
    x = 659.42

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Double scale
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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.