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Finding the Fourth Proportional to 1,035.52, 1,553.76 and 419.04

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Solution

The fourth proportional to 1,035.52, 1,553.76 and 419.04 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.52 : 1,553.76 = 419.04 : x
  2. Step 2: Convert to fraction form
    1,035.52/1,553.76 = 419.04/x
  3. Step 3: Cross multiply
    1,035.52x = 1,553.76 × 419.04
  4. Step 4: Simplify right side
    1,035.52x = 651,087.59
  5. Step 5: Solve for x
    x = 651,087.59/1,035.52
  6. Step 6: Final answer
    x = 628.75

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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.