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Finding the Fourth Proportional to 830.58, 1,146.49 and 516.09

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Solution

The fourth proportional to 830.58, 1,146.49 and 516.09 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.58 : 1,146.49 = 516.09 : x
  2. Step 2: Convert to fraction form
    830.58/1,146.49 = 516.09/x
  3. Step 3: Cross multiply
    830.58x = 1,146.49 × 516.09
  4. Step 4: Simplify right side
    830.58x = 591,692.02
  5. Step 5: Solve for x
    x = 591,692.02/830.58
  6. Step 6: Final answer
    x = 712.38

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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.