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Finding the Fourth Proportional to 1,497.43, 2,066.43 and 834.34

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Solution

The fourth proportional to 1,497.43, 2,066.43 and 834.34 is: 1,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.43 : 2,066.43 = 834.34 : x
  2. Step 2: Convert to fraction form
    1,497.43/2,066.43 = 834.34/x
  3. Step 3: Cross multiply
    1,497.43x = 2,066.43 × 834.34
  4. Step 4: Simplify right side
    1,497.43x = 1,724,105.21
  5. Step 5: Solve for x
    x = 1,724,105.21/1,497.43
  6. Step 6: Final answer
    x = 1,151.38

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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.