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Finding the Fourth Proportional to 837.79, 1,156.16 and 459.68

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Solution

The fourth proportional to 837.79, 1,156.16 and 459.68 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.79 : 1,156.16 = 459.68 : x
  2. Step 2: Convert to fraction form
    837.79/1,156.16 = 459.68/x
  3. Step 3: Cross multiply
    837.79x = 1,156.16 × 459.68
  4. Step 4: Simplify right side
    837.79x = 531,455.55
  5. Step 5: Solve for x
    x = 531,455.55/837.79
  6. Step 6: Final answer
    x = 634.36

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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.