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Finding the Fourth Proportional to 1,553.64, 2,330.67 and 513.30

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Solution

The fourth proportional to 1,553.64, 2,330.67 and 513.30 is: 770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.64 : 2,330.67 = 513.30 : x
  2. Step 2: Convert to fraction form
    1,553.64/2,330.67 = 513.30/x
  3. Step 3: Cross multiply
    1,553.64x = 2,330.67 × 513.30
  4. Step 4: Simplify right side
    1,553.64x = 1,196,332.91
  5. Step 5: Solve for x
    x = 1,196,332.91/1,553.64
  6. Step 6: Final answer
    x = 770.02

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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.