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Finding the Fourth Proportional to 1,497.34, 2,066.34 and 834.22

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Solution

The fourth proportional to 1,497.34, 2,066.34 and 834.22 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.34 : 2,066.34 = 834.22 : x
  2. Step 2: Convert to fraction form
    1,497.34/2,066.34 = 834.22/x
  3. Step 3: Cross multiply
    1,497.34x = 2,066.34 × 834.22
  4. Step 4: Simplify right side
    1,497.34x = 1,723,772.82
  5. Step 5: Solve for x
    x = 1,723,772.82/1,497.34
  6. Step 6: Final answer
    x = 1,151.22

Related Problems

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Half scale
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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.