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Finding the Fourth Proportional to 1,036.00, 1,553.49 and 305.38

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Solution

The fourth proportional to 1,036.00, 1,553.49 and 305.38 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.00 : 1,553.49 = 305.38 : x
  2. Step 2: Convert to fraction form
    1,036.00/1,553.49 = 305.38/x
  3. Step 3: Cross multiply
    1,036.00x = 1,553.49 × 305.38
  4. Step 4: Simplify right side
    1,036.00x = 474,400.89
  5. Step 5: Solve for x
    x = 474,400.89/1,036.00
  6. Step 6: Final answer
    x = 457.92

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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.