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Finding the Fourth Proportional to 554.13, 829.86 and 514.04

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Solution

The fourth proportional to 554.13, 829.86 and 514.04 is: 769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.13 : 829.86 = 514.04 : x
  2. Step 2: Convert to fraction form
    554.13/829.86 = 514.04/x
  3. Step 3: Cross multiply
    554.13x = 829.86 × 514.04
  4. Step 4: Simplify right side
    554.13x = 426,577.09
  5. Step 5: Solve for x
    x = 426,577.09/554.13
  6. Step 6: Final answer
    x = 769.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.