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Finding the Fourth Proportional to 1,000.00, 1,500.04 and 306.61

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Solution

The fourth proportional to 1,000.00, 1,500.04 and 306.61 is: 459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.00 : 1,500.04 = 306.61 : x
  2. Step 2: Convert to fraction form
    1,000.00/1,500.04 = 306.61/x
  3. Step 3: Cross multiply
    1,000.00x = 1,500.04 × 306.61
  4. Step 4: Simplify right side
    1,000.00x = 459,922.17
  5. Step 5: Solve for x
    x = 459,922.17/1,000.00
  6. Step 6: Final answer
    x = 459.92

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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.