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Finding the Fourth Proportional to 750.25, 1,035.34 and 418.76

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Solution

The fourth proportional to 750.25, 1,035.34 and 418.76 is: 577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.25 : 1,035.34 = 418.76 : x
  2. Step 2: Convert to fraction form
    750.25/1,035.34 = 418.76/x
  3. Step 3: Cross multiply
    750.25x = 1,035.34 × 418.76
  4. Step 4: Simplify right side
    750.25x = 433,556.64
  5. Step 5: Solve for x
    x = 433,556.64/750.25
  6. Step 6: Final answer
    x = 577.88

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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.