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Finding the Fourth Proportional to 750.39, 1,035.62 and 455.95

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Solution

The fourth proportional to 750.39, 1,035.62 and 455.95 is: 629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.39 : 1,035.62 = 455.95 : x
  2. Step 2: Convert to fraction form
    750.39/1,035.62 = 455.95/x
  3. Step 3: Cross multiply
    750.39x = 1,035.62 × 455.95
  4. Step 4: Simplify right side
    750.39x = 472,190.94
  5. Step 5: Solve for x
    x = 472,190.94/750.39
  6. Step 6: Final answer
    x = 629.26

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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.