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Finding the Fourth Proportional to 832.69, 1,149.17 and 459.67

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Solution

The fourth proportional to 832.69, 1,149.17 and 459.67 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.69 : 1,149.17 = 459.67 : x
  2. Step 2: Convert to fraction form
    832.69/1,149.17 = 459.67/x
  3. Step 3: Cross multiply
    832.69x = 1,149.17 × 459.67
  4. Step 4: Simplify right side
    832.69x = 528,238.97
  5. Step 5: Solve for x
    x = 528,238.97/832.69
  6. Step 6: Final answer
    x = 634.38

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.