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Finding the Fourth Proportional to 1,553.18, 2,330.20 and 513.36

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Solution

The fourth proportional to 1,553.18, 2,330.20 and 513.36 is: 770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.18 : 2,330.20 = 513.36 : x
  2. Step 2: Convert to fraction form
    1,553.18/2,330.20 = 513.36/x
  3. Step 3: Cross multiply
    1,553.18x = 2,330.20 × 513.36
  4. Step 4: Simplify right side
    1,553.18x = 1,196,231.47
  5. Step 5: Solve for x
    x = 1,196,231.47/1,553.18
  6. Step 6: Final answer
    x = 770.18

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