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Finding the Fourth Proportional to 1,036.16, 1,554.30 and 419.85

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Solution

The fourth proportional to 1,036.16, 1,554.30 and 419.85 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.16 : 1,554.30 = 419.85 : x
  2. Step 2: Convert to fraction form
    1,036.16/1,554.30 = 419.85/x
  3. Step 3: Cross multiply
    1,036.16x = 1,554.30 × 419.85
  4. Step 4: Simplify right side
    1,036.16x = 652,572.86
  5. Step 5: Solve for x
    x = 652,572.86/1,036.16
  6. Step 6: Final answer
    x = 629.80

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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.