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Finding the Fourth Proportional to 1,035.25, 1,552.71 and 418.80

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Solution

The fourth proportional to 1,035.25, 1,552.71 and 418.80 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.25 : 1,552.71 = 418.80 : x
  2. Step 2: Convert to fraction form
    1,035.25/1,552.71 = 418.80/x
  3. Step 3: Cross multiply
    1,035.25x = 1,552.71 × 418.80
  4. Step 4: Simplify right side
    1,035.25x = 650,274.95
  5. Step 5: Solve for x
    x = 650,274.95/1,035.25
  6. Step 6: Final answer
    x = 628.13

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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.