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Finding the Fourth Proportional to 1,036.47, 1,554.24 and 420.01

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Solution

The fourth proportional to 1,036.47, 1,554.24 and 420.01 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.47 : 1,554.24 = 420.01 : x
  2. Step 2: Convert to fraction form
    1,036.47/1,554.24 = 420.01/x
  3. Step 3: Cross multiply
    1,036.47x = 1,554.24 × 420.01
  4. Step 4: Simplify right side
    1,036.47x = 652,794.03
  5. Step 5: Solve for x
    x = 652,794.03/1,036.47
  6. Step 6: Final answer
    x = 629.83

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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.