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Finding the Fourth Proportional to 809.96, 1,117.68 and 495.20

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Solution

The fourth proportional to 809.96, 1,117.68 and 495.20 is: 683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,117.68 = 495.20 : x
  2. Step 2: Convert to fraction form
    809.96/1,117.68 = 495.20/x
  3. Step 3: Cross multiply
    809.96x = 1,117.68 × 495.20
  4. Step 4: Simplify right side
    809.96x = 553,475.14
  5. Step 5: Solve for x
    x = 553,475.14/809.96
  6. Step 6: Final answer
    x = 683.34

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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.