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Finding the Fourth Proportional to 1,035.84, 1,553.06 and 419.42

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Solution

The fourth proportional to 1,035.84, 1,553.06 and 419.42 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.84 : 1,553.06 = 419.42 : x
  2. Step 2: Convert to fraction form
    1,035.84/1,553.06 = 419.42/x
  3. Step 3: Cross multiply
    1,035.84x = 1,553.06 × 419.42
  4. Step 4: Simplify right side
    1,035.84x = 651,384.43
  5. Step 5: Solve for x
    x = 651,384.43/1,035.84
  6. Step 6: Final answer
    x = 628.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.