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Finding the Fourth Proportional to 750.44, 1,035.55 and 418.85

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Solution

The fourth proportional to 750.44, 1,035.55 and 418.85 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.44 : 1,035.55 = 418.85 : x
  2. Step 2: Convert to fraction form
    750.44/1,035.55 = 418.85/x
  3. Step 3: Cross multiply
    750.44x = 1,035.55 × 418.85
  4. Step 4: Simplify right side
    750.44x = 433,740.12
  5. Step 5: Solve for x
    x = 433,740.12/750.44
  6. Step 6: Final answer
    x = 577.98

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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.