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Finding the Fourth Proportional to 830.49, 1,146.41 and 515.82

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Solution

The fourth proportional to 830.49, 1,146.41 and 515.82 is: 712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.49 : 1,146.41 = 515.82 : x
  2. Step 2: Convert to fraction form
    830.49/1,146.41 = 515.82/x
  3. Step 3: Cross multiply
    830.49x = 1,146.41 × 515.82
  4. Step 4: Simplify right side
    830.49x = 591,338.63
  5. Step 5: Solve for x
    x = 591,338.63/830.49
  6. Step 6: Final answer
    x = 712.04

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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.