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Finding the Fourth Proportional to 750.20, 1,035.15 and 418.61

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Solution

The fourth proportional to 750.20, 1,035.15 and 418.61 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,035.15 = 418.61 : x
  2. Step 2: Convert to fraction form
    750.20/1,035.15 = 418.61/x
  3. Step 3: Cross multiply
    750.20x = 1,035.15 × 418.61
  4. Step 4: Simplify right side
    750.20x = 433,322.05
  5. Step 5: Solve for x
    x = 433,322.05/750.20
  6. Step 6: Final answer
    x = 577.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.