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Finding the Fourth Proportional to 750.22, 1,035.35 and 418.64

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Solution

The fourth proportional to 750.22, 1,035.35 and 418.64 is: 577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.22 : 1,035.35 = 418.64 : x
  2. Step 2: Convert to fraction form
    750.22/1,035.35 = 418.64/x
  3. Step 3: Cross multiply
    750.22x = 1,035.35 × 418.64
  4. Step 4: Simplify right side
    750.22x = 433,438.92
  5. Step 5: Solve for x
    x = 433,438.92/750.22
  6. Step 6: Final answer
    x = 577.75

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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.