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Finding the Fourth Proportional to 750.05, 1,035.06 and 413.96

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Solution

The fourth proportional to 750.05, 1,035.06 and 413.96 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.05 : 1,035.06 = 413.96 : x
  2. Step 2: Convert to fraction form
    750.05/1,035.06 = 413.96/x
  3. Step 3: Cross multiply
    750.05x = 1,035.06 × 413.96
  4. Step 4: Simplify right side
    750.05x = 428,473.11
  5. Step 5: Solve for x
    x = 428,473.11/750.05
  6. Step 6: Final answer
    x = 571.26

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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.