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Finding the Fourth Proportional to 554.03, 830.24 and 513.53

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Solution

The fourth proportional to 554.03, 830.24 and 513.53 is: 769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.03 : 830.24 = 513.53 : x
  2. Step 2: Convert to fraction form
    554.03/830.24 = 513.53/x
  3. Step 3: Cross multiply
    554.03x = 830.24 × 513.53
  4. Step 4: Simplify right side
    554.03x = 426,350.58
  5. Step 5: Solve for x
    x = 426,350.58/554.03
  6. Step 6: Final answer
    x = 769.54

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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.