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Finding the Fourth Proportional to 832.86, 1,149.42 and 483.66

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Solution

The fourth proportional to 832.86, 1,149.42 and 483.66 is: 667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.86 : 1,149.42 = 483.66 : x
  2. Step 2: Convert to fraction form
    832.86/1,149.42 = 483.66/x
  3. Step 3: Cross multiply
    832.86x = 1,149.42 × 483.66
  4. Step 4: Simplify right side
    832.86x = 555,928.48
  5. Step 5: Solve for x
    x = 555,928.48/832.86
  6. Step 6: Final answer
    x = 667.49

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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.