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Finding the Fourth Proportional to 832.45, 1,148.77 and 459.42

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Solution

The fourth proportional to 832.45, 1,148.77 and 459.42 is: 634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.45 : 1,148.77 = 459.42 : x
  2. Step 2: Convert to fraction form
    832.45/1,148.77 = 459.42/x
  3. Step 3: Cross multiply
    832.45x = 1,148.77 × 459.42
  4. Step 4: Simplify right side
    832.45x = 527,771.93
  5. Step 5: Solve for x
    x = 527,771.93/832.45
  6. Step 6: Final answer
    x = 634.00

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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.