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Finding the Fourth Proportional to 750.15, 1,035.15 and 414.03

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Solution

The fourth proportional to 750.15, 1,035.15 and 414.03 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.15 : 1,035.15 = 414.03 : x
  2. Step 2: Convert to fraction form
    750.15/1,035.15 = 414.03/x
  3. Step 3: Cross multiply
    750.15x = 1,035.15 × 414.03
  4. Step 4: Simplify right side
    750.15x = 428,583.15
  5. Step 5: Solve for x
    x = 428,583.15/750.15
  6. Step 6: Final answer
    x = 571.33

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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.