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Finding the Fourth Proportional to 750.69, 1,035.99 and 419.12

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Solution

The fourth proportional to 750.69, 1,035.99 and 419.12 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.69 : 1,035.99 = 419.12 : x
  2. Step 2: Convert to fraction form
    750.69/1,035.99 = 419.12/x
  3. Step 3: Cross multiply
    750.69x = 1,035.99 × 419.12
  4. Step 4: Simplify right side
    750.69x = 434,204.13
  5. Step 5: Solve for x
    x = 434,204.13/750.69
  6. Step 6: Final answer
    x = 578.41

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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.